4000 (number)

← 3999 4000 4001 →
List of numbers — Integers ← 0 1k 2k 3k 4k 5k 6k 7k 8k 9k →
Cardinal	four thousand
Ordinal	4000th (four thousandth)
Factorization	2^5× 5^3
Roman numeral	MMMM or MV
Unicode symbol(s)	MV, mv
Binary	1111101000002
Ternary	121110113
Quaternary	3322004
Quinary	1120005
Senary	303046
Octal	76408
Duodecimal	239412
Hexadecimal	FA016
Vigesimal	A0020
Base 36	33436

4000 (four thousand) is the natural number following 3999 and preceding 4001. It is a decagonal number.^[1]

Selected numbers in the range 4001–4999

• 4005 – triangular number
• 4007 – safe prime
• 4010 – magic constant of n × n normal magic square and n-queens problem for n = 20.
• 4013 – balanced prime^[2]
• 4019 – Sophie Germain prime
• 4028 – sum of the first 45 primes
• 4030 – third weird number^[3]
• 4031 – sum of the cubes of the first six primes
• 4032 – pronic number
• 4033 – sixth super-Poulet number;^[4] strong pseudoprime in base 2^[5]
• 4060 – tetrahedral number^[6]
• 4073 – Sophie Germain prime
• 4079 – safe prime
• 4092 - an occasional glitch in the game The Legend of Zelda: Ocarina of Time causes the Gossip Stones to say this number
• 4095 – triangular number, odd abundant number,^[7] Mersenne number
• 4096 – power of two 2¹²; 64²; 16th cube; smallest number with exactly 13 divisors; a superperfect number^[8]
• 4104 – 2³ + 16³ = 9³ + 15³ (taxicab number)
• 4127 – safe prime
• 4139 – safe prime
• 4140 – Bell number^[9]
• 4141 – centered square number^[10]
• 4147 – smallest cyclic number in duodecimal
• 4160 – pronic number
• 4166 – centered heptagonal number,^[11] 7! − 6! − 5! − 4! − 3! − 2! − 1! − 0!
• 4167 – 7! − 6! − 5! − 4! − 3! − 2! − 1!
• 4168 – 7! − 6! − 5! − 4! − 3! − 2!
• 4170 – 7! − 6! − 5! − 4! − 3!
• 4176 – 7! − 6! − 5! − 4!
• 4181 – Fibonacci number,^[12] Markov number^[13]
• 4186 – triangular number
• 4187 – factor of R₁₃. Also record number of wickets taken in first-class cricket by Wilfred Rhodes.
• 4199 – highly cototient number,^[14] product of three consecutive primes
• 4200 – nonagonal number,^[15] pentagonal pyramidal number,^[16] 7! − 6! − 5!
• 4210 – 11th semi-meandric number^[17]
• 4211 – Sophie Germain prime
• 4219 – cuban prime of the form x = y + 1^[18]
• 4223 – Kynea number^[19]
• 4225 – 65², centered octagonal number^[20]
• 4227 – sum of the first 46 primes
• 4240 – Leyland number^[21]
• 4257 – decagonal number^[1]
• 4259 – safe prime
• 4271 – Sophie Germain prime
• 4278 – triangular number
• 4283 – safe prime
• 4289 – highly cototient number^[14]
• 4290 – pronic number
• 4320 – 7! − 6!
• 4324 – 23rd square pyramidal number^[22]
• 4325 – centered square number^[10]
• 4349 – Sophie Germain prime
• 4356 – 66², sum of the cubes of the first eleven integers
• 4359 – perfect totient number^[23]
• 4369 – seventh super-Poulet number^[4]
• 4371 – triangular number
• 4373 – Sophie Germain prime
• 4375 – perfect totient number (the smallest not divisible by 3)^[23]
• 4391 – Sophie Germain prime
• 4397 – Year of Comet Hale–Bopp's return, a prime number
• 4400 – the number of missing persons in the sci-fi show The 4400
• 4409 – Sophie Germain prime, highly cototient number,^[14] balanced prime^[2]
• 4410 – member of the Padovan sequence^[24]
• 4411 – centered heptagonal number^[11]
• 4421 – alternating factorial^[25]
• 4422 – pronic number
• 4438 – sum of the first 47 primes
• 4446 – nonagonal number^[15]
• 4447 – cuban prime of the form x = y + 1^[18]
• 4457 – balanced prime^[2]
• 4465 – triangular number
• 4481 – Sophie Germain prime
• 4489 – 67², centered octagonal number^[20]
• 4495 – tetrahedral number^[6]
• 4503 – largest number not the sum of four or fewer squares of composites
• 4505 – fifth Zeisel number^[26]
• 4513 – centered square number
• 4522 – decagonal number^[1]
• 4547 – safe prime
• 4556 – pronic number
• 4560 – triangular number
• 4579 – octahedral number^[27]
• 4597 – balanced prime^[2]
• 4607 – Woodall number^[28]
• 4619 – highly cototient number^[14]
• 4624 – 68²
• 4641 – magic constant of n × n normal magic square and n-queens problem for n = 21.
• 4656 – triangular number
• 4657 – balanced prime^[2]
• 4661 – sum of the first 48 primes
• 4663 – centered heptagonal number^[11]
• 4679 – safe prime
• 4681 – eighth super-Poulet number^[4]
• 4691 – balanced prime^[2]
• 4692 – pronic number
• 4699 – nonagonal number^[15]
• 4703 – safe prime
• 4705 – 48² + 49² = 17² + 18² + … + 26², centered square number
• 4727 – sum of the squares of the first twelve primes
• 4733 – Sophie Germain prime
• 4753 – triangular number
• 4761 – 69², centered octagonal number^[20]
• 4787 – safe prime
• 4788 – 14th Keith number^[29]
• 4793 – Sophie Germain prime
• 4795 – decagonal number^[1]
• 4799 – safe prime
• 4801 – cuban prime of the form x = y + 2,^[30] smallest prime with a composite sum of digits in base 7
• 4830 – pronic number
• 4851 – triangular number, pentagonal pyramidal number^[16]
• 4862 – Catalan number^[31]
• 4871 – Sophie Germain prime
• 4879 – 11th Kaprekar number^[32]
• 4888 – sum of the first 49 primes
• 4900 – 70², the only square-pyramidal square other than 1
• 4901 – centered square number
• 4913 – 17th cube
• 4919 – Sophie Germain prime, safe prime
• 4922 – centered heptagonal number^[11]
• 4941 – centered cube number^[33]
• 4943 – Sophie Germain prime
• 4950 – triangular number, 12th Kaprekar number^[32]
• 4959 – nonagonal number^[15]
• 4960 – tetrahedral number;^[6] greater of fourth pair of Smith brothers
• 4970 – pronic number
• 4991 – Lucas–Carmichael number
• 4993 – balanced prime^[2]

References

1. "Sloane's A001107 : 10-gonal (or decagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
2. "Sloane's A006562 : Balanced primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
3. "Sloane's A006037 : Weird numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
4. "Sloane's A050217 : Super-Poulet numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
5. "Sloane's A001262 : Strong pseudoprimes to base 2". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
6. "Sloane's A000292 : Tetrahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
7. "Sloane's A005231 : Odd abundant numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
8. "Sloane's A019279 : Superperfect numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
9. "Sloane's A000110 : Bell or exponential numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
10. "Sloane's A001844 : Centered square numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
11. "Sloane's A069099 : Centered heptagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
12. "Sloane's A000045 : Fibonacci numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
13. "Sloane's A002559 : Markoff (or Markov) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
14. "Sloane's A100827 : Highly cototient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
15. "Sloane's A001106 : 9-gonal (or enneagonal or nonagonal) numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
16. "Sloane's A002411 : Pentagonal pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
17. "Sloane's A000682 : Semimeanders". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
18. "Sloane's A002407 : Cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
19. "Sloane's A093069 : a(n) = (2^n + 1)^2 - 2". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
20. "Sloane's A016754 : Odd squares: a(n) = (2n+1)^2. Also centered octagonal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
21. "Sloane's A076980 : Leyland numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
22. "Sloane's A000330 : Square pyramidal numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
23. "Sloane's A082897 : Perfect totient numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
24. "Sloane's A000931 : Padovan sequence". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-11.
25. "Sloane's A005165 : Alternating factorials". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
26. "Sloane's A051015 : Zeisel numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
27. "Sloane's A005900 : Octahedral numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
28. "Sloane's A003261 : Woodall numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
29. "Sloane's A007629 : Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers)". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
30. "A variant of the cuban primes". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
31. "Sloane's A000108 : Catalan numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
32. "Sloane's A006886 : Kaprekar numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.
33. "Sloane's A005898 : Centered cube numbers". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-06-13.