| Number | 40000 |
|---|---|
| Divisor | 35 total |
40,000 (forty thousand) is the natural number that comes after 39,999 and before 40,001. It is the square of 200.
Selected numbers in the range 40001–49999
40001 to 40999
- 40320 = smallest factorial (8!) that is not a highly composite number
- 40425 = square pyramidal number
- 40585 = largest factorion[1]
- 40678 = pentagonal pyramidal number
- 40755 = the smallest number >1 to be a Triangular number, Pentagonal number, and a Hexagonal number.[2] Additionally, it's a 390-gonal, 4077-gonal, and 13586-gonal number.[3][4][5]
- 40804 = palindromic square
41000 to 41999
- 41041 = Carmichael number[6]
- 41472 = 3-smooth number, number of reduced trees with 24 nodes[7]
- 41586 = Large Schröder number
- 41616 = triangular square number[8]
- 41835 = Motzkin number[9]
- 41841 = 1/41841 = 0.0000239 is a repeating decimal with period 7
42000 to 42999
- 42680 = octahedral number[10]
- 42875 = 353
- 42925 = square pyramidal number
43000 to 43999
- 43261 = Markov number[11]
- 43380 = number of nets of a dodecahedron
- 43390 = number of primes
\leq 2^{19}.[12] - 43560 = pentagonal pyramidal number
- 43691 = Wagstaff prime[13]
- 43777 = smallest member of a prime sextuplet
44000 to 44999
- 44044 = palindrome of 79 after 6 iterations of the "reverse and add" iterative process[14]
- 44100 = sum of the cubes of the first 20 positive integers 44,100 Hz is a common sampling frequency in digital audio (and is the standard for compact discs).
- 44444 = repdigit
- 44583 = number of partitions of 41[15]
- 44721 = smallest positive integer such that the expression 1⁄n − 1⁄n + 2 ≤ 10−9
- 44724 = maximum number of days in which a human being has been verified to live (Jeanne Calment).[16]
- 44944 = palindromic square
45000 to 45999
- 45360 = 26th highly composite number;[17] smallest number with exactly 100 factors (including one and itself)
46000 to 46999
- 46080 = double factorial of 12
- 46233 = sum of the first eight factorials
- 46249 = 2nd number that can be written as
a^2+b!in 3 ways[18] - 46368 = Fibonacci number[19]
- 46656 = 2162 = 363 = 66, 3-smooth number
- 46657 = Carmichael number[6]
- 46972 = number of prime knots with 14 crossings
47000 to 47999
- 47058 = primary pseudoperfect number[20]
- 47160 = 10-th derivative of xx at x=1[21]
- 47321/33461 ≈ √2
48000 to 48999
- 48629 = number of trees with 17 unlabeled nodes[22]
- 48734 = number of 22-bead necklaces (turning over is allowed) where complements are equivalent[23]
49000 to 49999
- 49151 = Woodall number[24]
- 49152 = 3-smooth number
- 49726 = pentagonal pyramidal number
- 49940 = number of 21-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed[25]
Primes
There are 930 prime numbers between 40000 and 50000.
References
- ^ "Sloane's A014080 : Factorions". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
- ^ "A046180 - OEIS". oeis.org. Retrieved 2024-12-18.
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- ^ "Sloane's A002997 : Carmichael numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
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- ^ "Sloane's A001110 : Square triangular numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
- ^ "Sloane's A001006 : Motzkin numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
- ^ "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
- ^ "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-15.
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- ^ "Reversal-Addition Palindrome Test on 79"
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- ^ Amzallag, William (22 September 2016). The Promise of Immortality. Varegus Publishing. p. 12. ISBN 978-2-9558558-1-2. Retrieved September 22, 2016.
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