{{Redirect|One million}} {{pp-vandalism|small=yes}} {{Use British English|date = February 2023}} {{Use dmy dates|date=May 2026}} {{Infobox number | number =1000000 |lang1=<br>Egyptian hieroglyph |lang1 symbol=<br><span style="font-size:300%;">𓁨</span>}} {{wiktionary|million}} '''1,000,000''' ('''one million'''), or one thousand thousand, is the natural number following 999,999 and preceding 1,000,001. The word is derived from the early Italian ''millione'' (''milione'' in modern Italian), from ''mille'', "thousand", plus the augmentative suffix ''-one''.<ref>{{cite web |url=http://dictionary.reference.com/browse/million |title=million |work=Dictionary.com Unabridged |publisher=Random House, Inc. |access-date=4 October 2010}}</ref>
It is commonly abbreviated: * in British English as '''m'''<ref>{{Cite web|url=http://www.oxforddictionaries.com/definition/english/m |archive-url=https://web.archive.org/web/20120706075722/http://oxforddictionaries.com/definition/english/m |url-status=dead |archive-date=July 6, 2012 |title=m|work=Oxford Dictionaries|publisher=Oxford University Press|access-date=2015-06-30}}</ref><ref>{{cite book|title=The Economist Style Guide|date=2015|publisher=The Economist|edition=11th|chapter-url=https://books.google.com/books?id=enIZBwAAQBAJ&pg=PT70|chapter=figures|isbn=9781782830917}}</ref><ref name="EUStyleGuide">{{cite book|url=https://ec.europa.eu/info/sites/info/files/styleguide_english_dgt_en.pdf|title=English Style Guide. A handbook for authors and translators in the European Commission|chapter=6.7 Abbreviating ‘million’ and ‘billion’|edition=2019|page=37|date=26 February 2019}}</ref> (not to be confused with the metric prefix "m" ''milli'', for {{val||e=-3}}, or with metre), * '''M''',<ref>{{Cite web|url=http://www.merriam-webster.com/dictionary/m |title=m|work=Merriam-Webster|publisher=Merriam-Webster Inc.|access-date=2015-06-30}}</ref><ref>{{Cite web|url=http://www.collinsdictionary.com/dictionary/english/m |title=Definition of 'M'|work=Collins English Dictionary|publisher=HarperCollins Publishers|access-date=2015-06-30}}</ref> * '''MM''' ("thousand thousands", from Latin "Mille"; not to be confused with the Roman numeral {{rn|MM}} = 2,000), * '''mm''' (not to be confused with millimetre), or * '''mn''', '''mln''', or '''mio''' can be found in financial contexts.<ref name="M&MM">{{cite web|last1=Averkamp|first1=Harold|title=Q&A: What Does M and MM Stand For?|url=http://www.accountingcoach.com/blog/what-does-m-and-mm-stand-for|website=AccountingCoach.com|publisher=AccountingCoach, LLC|access-date=25 June 2015}}</ref><ref>{{cite web|url=https://aboutus.ft.com/press_release/ft-makes-change-to-style-guide |title=FT makes change to style guide to benefit text-to-speech software|work=Financial Times|date=4 February 2022 |publisher=The Financial Times Ltd.|access-date=2024-03-13|quote=The abbreviation of millions is now ‘mn’ instead of ‘m’. One of the main reasons is to benefit text-to-speech software, which reads out the ‘m’ as metres instead of millions, confusing visually impaired readers. It also comes into line with our style for billion (bn) and trillion (tn).}}</ref>
In scientific notation, it is written as {{val|1|e=6}} or 10<sup>6</sup>.<ref>{{cite book |author=David Wells |title=The Penguin Dictionary of Curious and Interesting Numbers |location=London |publisher=Penguin Group |year=1987 |page=185 |quote=1,000,000 = 10<sup>6</sup>}}</ref> Physical quantities can also be expressed using the SI prefix mega (M), when dealing with SI units; for example, 1 megawatt (1 MW) equals 1,000,000 watts.
The meaning of the word "million" is common to the short scale and long scale numbering systems, unlike the larger numbers, which have different names in the two systems.
The million is sometimes used in the English language as a metaphor for a very large number, as in "Not in a million years" and "You're one in a million", or a hyperbole, as in "I've walked a million miles" and "You've asked a million-dollar question".
1,000,000 is also the square of 1000 and the cube of 100.
==Visualising one million== thumb|240px|Visualisation of powers of ten from 1 to 1 million
Even though it is often stressed that counting to precisely a million would be an exceedingly tedious task due to the time and concentration required, there are many ways to bring the number "down to size" in approximate quantities, ignoring irregularities or packing effects. * Information: Not counting spaces, the text printed on 136 pages of an Encyclopædia Britannica, or 600 pages of pulp paperback fiction contains approximately one million characters. * Length: There are one million millimetres in a kilometre, and roughly a million sixteenths of an inch in a mile (1 sixteenth = 0.0625). A typical car tire might rotate a million times in a {{convert|1200|mi|km|adj=on|order=flip}} trip, while the engine would do several times that number of revolutions. * Fingers: If the width of a human finger is {{convert|22|mm|abbr=on|frac=8}}, then a million fingers lined up would cover a distance of {{convert|22|km|mi|abbr=on}}. If a person walks at a speed of {{convert|4|km/h|abbr=on}}, it would take them approximately five and a half hours to reach the end of the fingers. * Area: A square a thousand objects or units on a side contains a million such objects or square units, so a million holes might be found in less than three square yards of window screen, or similarly, in about one half square foot (400–500 cm<sup>2</sup>) of bed sheet cloth. A city lot 70 by 100 feet is about a million square inches. * Volume: The cube root of one million is one hundred, so a million objects or cubic units is contained in a cube a hundred objects or linear units on a side. A million grains of table salt or granulated sugar occupies about {{convert|64|mL|abbr=on}}, the volume of a cube one hundred grains on a side. One million cubic inches would be the volume of a small room {{frac|8|1|3}} feet long by {{frac|8|1|3}} feet wide by {{frac|8|1|3}} feet high. * Mass: A million cubic millimetres (small droplets) of water would have a volume of one litre and a mass of one kilogram. A million millilitres or cubic centimetres (one cubic metre) of water has a mass of a million grams or one tonne. * Weight: A million {{convert|80|mg|adj=on}} honey bees would weigh the same as an {{convert|80|kg|adj=on|abbr=on}} person. * Landscape: A pyramidal hill {{convert|600|ft|m}} wide at the base and {{convert|100|ft|m}} high would weigh about a million short tons. * Computer: A display resolution of 1,280 by 800 pixels contains 1,024,000 pixels. * Money: A U.S. dollar bill of any denomination has a mass of {{convert|1|g}}. One million dollar bills have a mass of {{convert|1|Mg|kg lb|lk=in}} or 1 tonne (just over 1 short ton). * Time: A million seconds, 1 megasecond, is 11.57 days.
In Indian English and Pakistani English, it is also expressed as 10 lakh. Lakh is derived from {{transliteration|sa|ISO|lakṣa}} for 100,000 in Sanskrit.
[[File:One_million_dots_1080p.png|thumb|240px|One million black dots (pixels) – each tile with white or grey background contains 1000 dots [https://upload.wikimedia.org/wikipedia/commons/5/51/One_million_dots_1080p.png (full image)] ]]
==Selected 7-digit numbers (1,000,001–9,999,999)==
===1,000,001 to 1,999,999=== * '''1,000,003''' = Smallest 7-digit prime number * '''1,000,405''' = Smallest triangular number with 7 digits and the 1,414th triangular number * '''1,002,001''' = 1001<sup>2</sup>, palindromic square * '''1,006,301''' = First number of the first pair of prime quadruplets occurring thirty apart ({1006301, 1006303, 1006307, 1006309} and {1006331, 1006333, 1006337, 1006339})<ref>{{Cite OEIS|A059925|Initial members of two prime quadruples (A007530) with the smallest possible difference of 30}}</ref> * '''1,024,000''' = Sometimes, the number of bytes in a megabyte<ref>[http://www.computernostalgia.net/articles/HistoryoftheFloppyDisk.htm Tracing the History of the Computer - History of the Floppy Disk]</ref> * '''1,030,301''' = 101<sup>3</sup>, palindromic cube * '''1,037,718''' = Large Schröder number<ref name="LAN">{{cite OEIS|A006318|Large Schröder number}}</ref> * '''1,048,576''' = 1024<sup>2</sup> = 32<sup>4</sup> = 16<sup>5</sup> = 4<sup>10</sup> = 2<sup>20</sup>, the number of bytes in a mebibyte (previously called a megabyte) * '''1,048,976''' = smallest 7 digit Leyland number * '''1,058,576''' = Leyland number * '''1,058,841''' = 7<sup>6</sup> x 3<sup>2</sup> * '''1,077,871''' = the amount of prime numbers between 0 and 16777216(2^24) * '''1,081,080''' = 39th highly composite number<ref name="A002182">{{Cite OEIS|A002182|numbers}}</ref> * '''1,084,051''' = fifth Keith prime<ref name=A007629>{{Cite OEIS|A007629|Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers)}}</ref> * '''1,089,270''' = harmonic divisor number<ref name=A001599>{{Cite OEIS|A001599|Harmonic or Ore numbers}}</ref> * '''1,111,111''' = repunit * '''1,112,083''' = logarithmic number<ref>{{cite OEIS|A002104|Logarithmic numbers}}</ref> * '''1,129,308'''<sup>32</sup> + 1 is prime<ref>{{cite OEIS|A006315|Numbers n such that n^32 + 1 is prime}}</ref> * '''1,136,689''' = Pell number,<ref name=A000129>{{Cite OEIS|A000129|Pell numbers}}</ref> Markov number<ref name=A002559>{{Cite OEIS|A002559|2=Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x^2 + y^2 + z^2 = 3*x*y*z}}</ref> * '''1,174,281''' = Fine number<ref name=A000957>{{cite OEIS|A000957|Fine's sequence (or Fine numbers): number of relations of valence > 0 on an n-set; also number of ordered rooted trees with n edges having root of even degree}}</ref> * '''1,185,921''' = 1089<sup>2</sup> = 33<sup>4</sup> * '''1,200,304''' = 1<sup>7</sup> + 2<sup>7</sup> + 3<sup>7</sup> + 4<sup>7</sup> + 5<sup>7</sup> + 6<sup>7</sup> + 7<sup>7</sup> <ref>{{cite OEIS|A031971|Sum_{1..n} k^n}}</ref> * '''1,203,623''' = smallest unprimeable number ending in 3<ref>{{Cite book|last=Collins|first=Julia|title=Numbers in Minutes|publisher=Quercus|year=2019|isbn=978-1635061772|location=United Kingdom|pages=140}}</ref><ref>{{Cite OEIS|A143641|Odd prime-proof numbers not ending in 5}}</ref> * '''1,234,321''' = 1111<sup>2</sup>, palindromic square * '''1,246,863 ''' = Number of 27-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011>{{cite OEIS|A000011|Number of n-bead necklaces (turning over is allowed) where complements are equivalent}}</ref> * '''1,256,070''' = number of reduced trees with 29 nodes<ref name=A000014>{{cite OEIS|A000014|Number of series-reduced trees with n nodes}}</ref> * '''1,262,180''' = number of triangle-free graphs on 12 vertices<ref>{{cite OEIS|A006785|Number of triangle-free graphs on n vertices}}</ref> * '''1,278,818''' = Markov number<ref name=A002559/> * '''1,290,872''' = number of 26-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed<ref name=A000013>{{cite OEIS|A000013|Definition (1): Number of n-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed}}</ref> * '''1,296,000''' = number of primitive polynomials of degree 25 over GF(2)<ref name=A011260>{{cite OEIS|A011260|Number of primitive polynomials of degree n over GF(2)}}</ref> * '''1,299,709''' = 100,000th prime number * '''1,336,336''' = 1156<sup>2</sup> = 34<sup>4</sup> * '''1,346,269''' = Fibonacci number,<ref name=A000045>{{Cite OEIS|A000045|Fibonacci numbers}}</ref> Markov number<ref name=A002559/> * '''1,367,631''' = 111<sup>3</sup>, palindromic cube * '''1,388,705''' = number of prime knots with 16 crossings * '''1,413,721''' = square triangular number<ref>{{Cite OEIS|A001110|Square triangular numbers}}</ref> * '''1,419,857''' = 17<sup>5</sup> * '''1,421,280''' = harmonic divisor number<ref name=A001599/> * '''1,441,440''' = 11th colossally abundant number,<ref name=A004490>{{Cite OEIS|A004490|Colossally abundant numbers}}</ref> 11th superior highly composite number,<ref name=A002201>{{Cite OEIS|A002201|Superior highly composite numbers}}</ref> 40th highly composite number<ref name="A002182" /> * '''1,441,889''' = Markov number<ref name=A002559/> * '''1,500,625''' = 1225<sup>2</sup> = 35<sup>4</sup> * '''1,539,720''' = harmonic divisor number<ref name=A001599/> * '''1,563,372''' = Wedderburn-Etherington number<ref name=A001190>{{Cite OEIS|A001190|Wedderburn-Etherington numbers}}</ref> * '''1,594,323''' = 3<sup>13</sup> * '''1,596,520''' = Leyland number * '''1,606,137''' = number of ways to partition {1,2,3,4,5,6,7,8,9} and then partition each cell (block) into subcells.<ref>{{cite OEIS|A000258|Expansion of e.g.f. exp(exp(exp(x)-1)-1)}}</ref> * '''1,607,521'''/1,136,689 ≈ √2 * '''1,647,086''' = Leyland number * '''1,671,800''' = Initial number of first century ''xx''00 to ''xx''99 consisting entirely of composite numbers<ref>{{Cite OEIS|A181098|Primefree centuries}}</ref> * '''1,679,616''' = 1296<sup>2</sup> = 36<sup>4</sup> = 6<sup>8</sup> * '''1,686,049''' = Markov prime * '''1,687,989''' = number of square (0,1)-matrices without zero rows and with exactly 7 entries equal to 1<ref>{{cite OEIS|A122400|Number of square (0,1)-matrices without zero rows and with exactly n entries equal to 1}}</ref> * '''1,719,900''' = number of primitive polynomials of degree 26 over GF(2)<ref name=A011260/> * '''1,730,787''' = Riordan number<ref name="A005043"/> * '''1,741,725''' = equal to the sum of the seventh power of its digits * '''1,771,561''' = 1331<sup>2</sup> = 121<sup>3</sup> = 11<sup>6</sup>, also, Commander Spock's estimate for the tribble population in the ''Star Trek'' episode "The Trouble with Tribbles" * '''1,864,637''' = k such that the sum of the squares of the first k primes is divisible by k.<ref>{{cite OEIS|A111441|Numbers k such that the sum of the squares of the first k primes is divisible by k}}</ref> * '''1,874,161''' = 1369<sup>2</sup> = 37<sup>4</sup> * '''1,889,568''' = 18<sup>5</sup> * '''1,928,934''' = 2 x 3<sup>9</sup> x 7<sup>2</sup> * '''1,941,760''' = Leyland number * '''1,953,125''' = 125<sup>3</sup> = 5<sup>9</sup> * '''1,978,405''' = 1<sup>6</sup> + 2<sup>6</sup> + 3<sup>6</sup> + 4<sup>6</sup> + 5<sup>6</sup> + 6<sup>6</sup> + 7<sup>6</sup> + 8<sup>6</sup> + 9<sup>6</sup> + 10<sup>6</sup> <ref>{{cite OEIS|A000540|Sum of 6th powers: 0^6 + 1^6 + 2^6 + ... + n^6.}}</ref>
===2,000,000 to 2,999,999=== * '''2,000,002''' = number of surface-points of a tetrahedron with edge-length 1000<ref>{{cite OEIS|A005893|Number of points on surface of tetrahedron}}</ref> * '''2,000,376''' = 126<sup>3</sup> * '''2,012,174''' = Leyland number * '''2,012,674''' = Markov number<ref name=A002559/> * '''2,027,025''' = double factorial of 15 * '''2,085,136''' = 1444<sup>2</sup> = 38<sup>4</sup> * '''2,097,152''' = 128<sup>3</sup> = 8<sup>7</sup> = 2<sup>21</sup> * '''2,097,593''' = Leyland prime<ref>{{Cite OEIS|A094133|Leyland prime numbers}}</ref> using 2 & 21 (2<sup>21</sup> + 21<sup>2</sup>) * '''2,118,107''' = largest integer <math>n\le10^{10}</math> such that <math>\sum_{k=0}^{22}\omega(n+k)\le57</math>, where <math>\omega(n)</math> is the prime omega function for distinct prime factors. The corresponding sum for 2118107 is indeed 57. * '''2,124,679''' = largest known Wolstenholme prime<ref>{{Cite OEIS|A088164|Wolstenholme primes}}</ref> * '''2,144,505''' = number of trees with 21 unlabelled nodes<ref name=A000055>{{cite OEIS|A000055|Number of trees with n unlabelled nodes}}</ref> * '''2,162,160''' = 41st highly composite number,<ref name="A002182" /> 2079th triangular number * '''2,177,399''' = smallest pandigital number in base 8.<ref>{{cite OEIS|A049363|2=a(1) = 1; for n > 1, smallest digitally balanced number in base n}}</ref> * '''2,178,309''' = Fibonacci number<ref name=A000045/> * '''2,222,222''' = repdigit * '''2,266,502''' = number of signed trees with 13 nodes<ref>{{cite OEIS|A000060|Number of signed trees with n nodes}}</ref> * '''2,274,205''' = number of different ways of expressing 1,000,000,000 as the sum of two prime numbers<ref>{{Cite OEIS|A065577|Number of Goldbach partitions of 10^n}}</ref> * '''2,313,441''' = 1521<sup>2</sup> = 39<sup>4</sup> * '''2,356,779''' = Motzkin number<ref name=A001006>{{Cite OEIS|A001006|Motzkin numbers}}</ref> * '''2,405,236 ''' = Number of 28-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011/> * '''2,423,525''' = Markov number<ref name=A002559/> * '''2,476,099''' = 19<sup>5</sup> * '''2,485,534''' = number of 27-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed<ref name=A000013/> * '''2,515,169''' = number of reduced trees with 30 nodes<ref name=A000014/> * '''2,560,000''' = 1600<sup>2</sup> = 40<sup>4</sup> * '''2,567,284''' = number of partially ordered set with 10 unlabelled elements<ref>{{cite OEIS|A000112|Number of partially ordered sets (posets) with n unlabelled elements}}</ref> * '''2,598,560''' = chances of getting a royal flush in a hand of poker (52!/5!47!) (n choose r) * '''2,646,723''' = little Schröder number * '''2,674,440''' = Catalan number<ref name=A000108>{{Cite OEIS|A000108|Catalan numbers}}</ref> * '''2,692,537''' = Leonardo prime * '''2,704,900''' = initial number of fourth century ''xx''00 to ''xx''99 containing seventeen prime numbers<ref>{{Cite OEIS|A186509|Centuries containing 17 primes}}</ref>{{efn|content=There are no centuries containing ''more'' than seventeen primes between 200 and 122,853,771,370,899 inclusive,<ref>{{Cite OEIS|A186311|Least century 100k to 100k+99 with exactly ''n'' primes}}</ref> and none containing more than fifteen between 2,705,000 and 839,296,299 inclusive.<ref>{{cite OEIS|A186408|Centuries containing 16 primes}}</ref>}} {2,704,901, 2,704,903, 2,704,907, 2,704,909, 2,704,927, 2,704,931, 2,704,937, 2,704,939, 2,704,943, 2,704,957, 2,704,963, 2,704,969, 2,704,979, 2,704,981, 2,704,987, 2,704,993, 2,704,997} * '''2,744,210''' = Pell number<ref name=A000129/> * '''2,796,203''' = Wagstaff prime,<ref>{{Cite OEIS|A000979|Wagstaff primes}}</ref> Jacobsthal prime * '''2,825,761''' = 1681<sup>2</sup> = 41<sup>4</sup> * '''2,890,625''' = 1-automorphic number<ref name=A003226>{{Cite OEIS|A003226|Automorphic numbers}}</ref> * '''2,922,509''' = Markov prime * '''2,985,984''' = 1728<sup>2</sup> = 144<sup>3</sup> = 12<sup>6</sup> = 1,000,000<sub>12</sub> AKA a great-great-gross
===3,000,000 to 3,999,999=== * '''3,111,696''' = 1764<sup>2</sup> = 42<sup>4</sup> * '''3,200,000''' = 20<sup>5</sup> * '''3,263,443''' = sixth term of Sylvester's sequence<ref>{{Cite OEIS|A000058|Sylvester's sequence}}</ref> * '''3,276,509''' = Markov prime * '''3,294,172''' = 2<sup>2</sup>×7<sup>7</sup><ref>{{cite OEIS|A048102|Numbers k such that if k equals Product p_i^e_i then p_i equals e_i for all i}}</ref> * '''3,301,819''' = alternating factorial<ref>{{Cite OEIS|A005165|Alternating factorials}}</ref> * '''3,333,333''' = repdigit * '''3,360,633''' = palindromic in 3 consecutive bases: 6281826<sub>9</sub> = 3360633<sub>10</sub> = 1995991<sub>11</sub> * '''3,418,801''' = 1849<sup>2</sup> = 43<sup>4</sup> * '''3,426,576''' = number of free 15-ominoes * '''3,524,578''' = Fibonacci number,<ref name=A000045/> Markov number<ref name=A002559/> * '''3,554,688''' = 2-automorphic number<ref>{{Cite OEIS|A030984|2-automorphic numbers}}</ref> * '''3,626,149''' = Wedderburn–Etherington prime<ref name=A001190/> * '''3,628,800''' = 10! * '''3,748,096''' = 1936<sup>2</sup> = 44<sup>4</sup> * '''3,880,899'''/2,744,210 ≈ √2
===4,000,000 to 4,999,999=== * '''4,008,004''' = 2002<sup>2</sup>, palindromic square * '''4,037,913''' = sum of the first ten factorials * '''4,084,101''' = 21<sup>5</sup> * '''4,100,625''' = 2025<sup>2</sup> = 45<sup>4</sup> * '''4,194,304''' = 2048<sup>2</sup> = 4<sup>11</sup> = 2<sup>22</sup> * '''4,194,788''' = Leyland number * '''4,202,496''' = number of primitive polynomials of degree 27 over GF(2)<ref name=A011260/> * '''4,208,945''' = Leyland number * '''4,210,818''' = equal to the sum of the seventh powers of its digits * '''4,213,597''' = Bell number<ref>{{Cite OEIS|A000110|Bell or exponential numbers}}</ref> * '''4,260,282''' = Fine number<ref name=A000957/> * '''4,297,512''' = 12-th derivative of x<sup>x</sup> at x=1<ref>{{cite OEIS|A005727|n-th derivative of x^x at 1. Also called Lehmer-Comtet numbers}}</ref> * '''4,324,320''' = 12th colossally abundant number,<ref name=A004490/> 12th superior highly composite number,<ref name=A002201/> pronic number * '''4,400,489''' = Markov number<ref name=A002559/> * '''4,444,444''' = repdigit * '''4,477,456''' = 2116<sup>2</sup> = 46<sup>4</sup> * '''4,636,390 ''' = Number of 29-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011/> * '''4,741,632''' = number of primitive polynomials of degree 28 over GF(2)<ref name=A011260/> * '''4,782,969''' = 2187<sup>2</sup> = 9<sup>7</sup> = 3<sup>14</sup> * '''4,782,974''' = n such that n | (3<sup>n</sup> + 5)<ref name=A277288>{{cite OEIS|A277288|Positive integers n such that n divides (3^n + 5)}}</ref> * '''4,785,713''' = Leyland number * '''4,794,088''' = number of 28-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed<ref name=A000013/> * '''4,805,595''' = Riordan number<ref name="A005043">{{Cite OEIS|A005043|Riordan number}}</ref> * '''4,826,809''' = 2197<sup>2</sup> = 169<sup>3</sup> = 13<sup>6</sup> * '''4,879,681''' = 2209<sup>2</sup> = 47<sup>4</sup> * '''4,913,000''' = 170<sup>3</sup> * '''4,937,284''' = 2222<sup>2</sup>
===5,000,000 to 5,999,999=== * '''5,049,816''' = number of reduced trees with 31 nodes<ref name=A000014/> * '''5,096,876''' = number of prime numbers having eight digits<ref>{{Cite OEIS|A006879|Number of primes with n digits.}}</ref> * '''5,134,240''' = the largest number that cannot be expressed as the sum of distinct fourth powers * '''5,153,632''' = 22<sup>5</sup> * '''5,195,977''' = smallest number ''n'' such that the sum of reciprocals of primes up to ''n'' exceeds 3<ref name="A016088">{{Cite OEIS|A016088}}</ref> * '''5,221,225''' = 2285<sup>2</sup>, palindromic square * '''5,293,446''' = Large Schröder number<ref name="LAN" /> * '''5,308,416''' = 2304<sup>2</sup> = 48<sup>4</sup> * '''5,496,925''' = first cyclic number in base 6 * '''5,555,555''' = repdigit * '''5,623,756''' = number of trees with 22 unlabelled nodes<ref name=A000055/> * '''5,702,887''' = Fibonacci number<ref name=A000045/> * '''5,761,455''' = the number of primes under 100,000,000 * '''5,764,801''' = 2401<sup>2</sup> = 49<sup>4</sup> = 7<sup>8</sup> * '''5,882,353''' = 588<sup>2</sup> + 2353<sup>2</sup>
===6,000,000 to 6,999,999=== * '''6,250,000''' = 2500<sup>2</sup> = 50<sup>4</sup> * '''6,436,343''' = 23<sup>5</sup> * '''6,536,382''' = Motzkin number<ref name=A001006/> * '''6,625,109''' = Pell number,<ref name=A000129/> Markov number<ref name=A002559/> * '''6,666,666''' = repdigit * '''6,765,201''' = 2601<sup>2</sup> = 51<sup>4</sup> * '''6,948,496''' = 2636<sup>2</sup>, palindromic square
===7,000,000 to 7,999,999=== * '''7,109,376''' = 1-automorphic number<ref name=A003226/> * '''7,311,616''' = 2704<sup>2</sup> = 52<sup>4</sup> * '''7,453,378''' = Markov number<ref name=A002559/> * '''7,529,536''' = 2744<sup>2</sup> = 196<sup>3</sup> = 14<sup>6</sup> * '''7,652,413''' = Largest n-digit pandigital prime * '''7,777,777''' = repdigit * '''7,779,311''' = A hit song written by Prince and released in 1982 by The Time * '''7,861,953''' = Leyland number * '''7,890,481''' = 2809<sup>2</sup> = 53<sup>4</sup> * '''7,906,276''' = pentagonal triangular number * '''7,913,837''' = Keith number<ref name=A007629/> * '''7,962,624''' = 24<sup>5</sup>
===8,000,000 to 8,999,999=== * '''8,000,000''' = 200<sup>3</sup>, Used to represent infinity in Japanese mythology * '''8,053,393''' = number of prime knots with 17 crossings * '''8,108,731''' = repunit prime in base 14 * '''8,388,607''' = second composite Mersenne number with a prime exponent * '''8,388,608''' = 2<sup>23</sup> * '''8,389,137''' = Leyland number * '''8,399,329''' = Markov number<ref name=A002559/> * '''8,436,379''' = Wedderburn-Etherington number<ref name=A001190/> * '''8,503,056''' = 2916<sup>2</sup> = 54<sup>4</sup> * '''8,675,309''' = A hit song for Tommy Tutone (also a twin prime with 8,675,311) * '''8,675,311''' = Twin prime with 8,675,309 * '''8,877,691''' = number of nonnegative integers with distinct decimal digits<ref>{{cite OEIS|A344389|a(n) is the number of nonnegative numbers < 10^n with all digits distinct.}}</ref> * '''8,888,888''' = repdigit * '''8,946,176''' = self-descriptive number in base 8 * '''8,964,800 ''' = Number of 30-bead necklaces (turning over is allowed) where complements are equivalent<ref name=A000011/>
===9,000,000 to 9,999,999=== * '''9,000,000''' = 3000<sup>2</sup> * '''9,069,229''' = 13 × 293 × 2,381, Strong pseudoprime to base two, first strong pseudoprime to have a multiplicative order above 100,000 (104,244) * '''9,150,625''' = 3025<sup>2</sup> = 55<sup>4</sup> * '''9,227,465''' = Fibonacci number,<ref name=A000045/> Markov number<ref name=A002559/> * '''9,256,396''' = number of 29-bead binary necklaces with beads of 2 colours where the colours may be swapped but turning over is not allowed<ref name=A000013/> * '''9,261,000''' = 210<sup>3</sup> * '''9,369,319''' = Newman–Shanks–Williams prime<ref>{{Cite OEIS|A088165|NSW primes}}</ref> * '''9,647,009''' = Markov number<ref name=A002559/> * '''9,653,449''' = square Stella octangula number * '''9,581,014''' = n such that n | (3<sup>n</sup> + 5)<ref name=A277288/> * '''9,663,500''' = Initial number of first century ''xx''00 to ''xx''99 that possesses an identical prime pattern to any century with four or fewer digits: its prime pattern of {9663503, 9663523, 9663527, 9663539, 9663553, 9663581, 9663587} is identical to {5903, 5923, 5927, 5939, 5953, 5981, 5987}<ref>{{Cite OEIS|A164987|First pair of primes (p1, p2) that begin centuries of primes having the same prime configuration, ordered by increasing p2. Each configuration is allowed only once.}}</ref><ref>{{cite OEIS|A258275|Smallest number k > n such that the interval k*100 to k*100+99 has exactly the same prime pattern as the interval n*100 to n*100+99}}</ref> * '''9,694,845''' = Catalan number<ref name=A000108/> * '''9,699,690''' = eighth primorial * '''9,765,625''' = 3125<sup>2</sup> = 25<sup>5</sup> = 5<sup>10</sup> * '''9,800,817''' = equal to the sum of the seventh powers of its digits * '''9,834,496''' = 3136<sup>2</sup> = 56<sup>4</sup> * '''9,865,625''' = Leyland number * '''9,926,315''' = equal to the sum of the seventh powers of its digits * '''9,938,375''' = 215<sup>3</sup>, the largest 7-digit cube * '''9,997,156''' = largest triangular number with 7 digits and the 4,471st triangular number * '''9,998,244''' = 3162<sup>2</sup>, the largest 7-digit square * '''9,999,991''' = Largest 7-digit prime number * '''9,999,999''' = repdigit
===Prime numbers===
There are 78,498 primes less than 10<sup>6</sup>, where 999,983 is the largest prime number smaller than 1,000,000.
Increments of 10<sup>6</sup> from 1 million through a 10 million have the following prime counts:
*'''70,435''' primes between 1,000,000 and 2,000,000. *'''67,883''' primes between 2,000,000 and 3,000,000. *'''66,330''' primes between 3,000,000 and 4,000,000. *'''65,367''' primes between 4,000,000 and 5,000,000. * '''64,336''' primes between 5,000,000 and 6,000,000. *'''63,799''' primes between 6,000,000 and 7,000,000. *'''63,129''' primes between 7,000,000 and 8,000,000. *'''62,712''' primes between 8,000,000 and 9,000,000. *'''62,090''' primes between 9,000,000 and 10,000,000. In total, there are '''586,081''' prime numbers between 1,000,000 and 10,000,000.<ref>{{Cite web |url=https://primes.utm.edu/nthprime/ |title=The Nth Prime Page |last1=Caldwell |first1=Chris K. |author-link=PrimePages |website= PrimePages |access-date=2022-12-03 }} From the differences of the prime indexes of the smallest and largest prime numbers in ranges of increments of 10<sup>5</sup>, plus 1 (for each range).</ref> == See also == * Huh (god), depictions of whom were also used in hieroglyphs to represent 1,000,000 * Megagon * Millionaire * Names of large numbers * Orders of magnitude (numbers) to help compare dimensionless numbers between 1,000,000 and 10,000,000 (10<sup>6</sup> and 10<sup>7</sup>)
==Notes== {{notelist}}
==References== {{Reflist|30em}}
{{Large numbers}} {{Integers|10}} {{Authority control}}
{{DEFAULTSORT:1000000 (Number)}} Category:Integers Category:Large numbers Category:Powers of ten