Rahul Sharma (Editor)

4000 (number)

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← 3999
  
4000

Cardinal
  
four thousand

Roman numeral
  
MMMM or MV

4000
  
4001 →

Factorization
  
2× 5

Ordinal
  
4000th(four thousandth)

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

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
  • 4019 – Sophie Germain prime
  • 4028 – sum of the first 45 primes
  • 4030 – third weird number
  • 4031 – sum of the cubes of the first six primes
  • 4032 – pronic number
  • 4033 – sixth super-Poulet number; strong pseudoprime in base 2
  • 4060 – tetrahedral number
  • 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, Mersenne number
  • 4096 – power of two 212; 642; 16th cube; smallest number with exactly 13 divisors; a superperfect number
  • 4104 – 23 + 163 = 93 + 153 (taxicab number)
  • 4127 – safe prime
  • 4139 – safe prime
  • 4140 – Bell number
  • 4141 – centered square number
  • 4147 – smallest cyclic number in duodecimal
  • 4160 – pronic number
  • 4166 – centered heptagonal number, 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, Markov number
  • 4186 – triangular number
  • 4187 – factor of R13. Also record number of wickets taken in first-class cricket by Wilfred Rhodes.
  • 4199 – highly cototient number, product of three consecutive primes
  • 4200 – nonagonal number, pentagonal pyramidal number, 7! − 6! − 5!
  • 4210 – 11th semi-meandric number
  • 4211 – Sophie Germain prime
  • 4219 – cuban prime of the form x = y + 1
  • 4223 – Kynea number
  • 4225 – 652, centered octagonal number
  • 4227 – sum of the first 46 primes
  • 4240 – Leyland number
  • 4257 – decagonal number
  • 4259 – safe prime
  • 4271 – Sophie Germain prime
  • 4278 – triangular number
  • 4283 – safe prime
  • 4289 – highly cototient number
  • 4290 – pronic number
  • 4320 – 7! − 6!
  • 4324 – 23rd square pyramidal number
  • 4325 – centered square number
  • 4349 – Sophie Germain prime
  • 4356 – 662, sum of the cubes of the first eleven integers
  • 4359 – perfect totient number
  • 4369 – seventh super-Poulet number
  • 4371 – triangular number
  • 4373 – Sophie Germain prime
  • 4375 – perfect totient number (the smallest not divisible by 3)
  • 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, balanced prime
  • 4410 – member of the Padovan sequence
  • 4411 – centered heptagonal number
  • 4421 – alternating factorial
  • 4422 – pronic number
  • 4438 – sum of the first 47 primes
  • 4446 – nonagonal number
  • 4447 – cuban prime of the form x = y + 1
  • 4457 – balanced prime
  • 4465 – triangular number
  • 4481 – Sophie Germain prime
  • 4489 – 672, centered octagonal number
  • 4495 – tetrahedral number
  • 4503 – largest number not the sum of four or fewer squares of composites
  • 4505 – fifth Zeisel number
  • 4513 – centered square number
  • 4522 – decagonal number
  • 4547 – safe prime
  • 4556 – pronic number
  • 4560 – triangular number
  • 4579 – octahedral number
  • 4597 – balanced prime
  • 4607 – Woodall number
  • 4619 – highly cototient number
  • 4624 – 682
  • 4641 – magic constant of n × n normal magic square and n-queens problem for n = 21.
  • 4656 – triangular number
  • 4657 – balanced prime
  • 4661 – sum of the first 48 primes
  • 4663 – centered heptagonal number
  • 4679 – safe prime
  • 4681 – eighth super-Poulet number
  • 4691 – balanced prime
  • 4692 – pronic number
  • 4699 – nonagonal number
  • 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
  • 4787 – safe prime
  • 4788 – 14th Keith number
  • 4793 – Sophie Germain prime
  • 4795 – decagonal number
  • 4799 – safe prime
  • 4801 – cuban prime of the form x = y + 2, smallest prime with a composite sum of digits in base 7
  • 4830 – pronic number
  • 4851 – triangular number, pentagonal pyramidal number
  • 4862 – Catalan number
  • 4871 – Sophie Germain prime
  • 4879 – 11th Kaprekar number
  • 4888 – sum of the first 49 primes
  • 4900 – 702, the only square-pyramidal square other than 1[1]
  • 4901 – centered square number
  • 4913 – 17th cube
  • 4919 – Sophie Germain prime, safe prime
  • 4922 – centered heptagonal number
  • 4941 – centered cube number
  • 4943 – Sophie Germain prime
  • 4950 – triangular number, 12th Kaprekar number
  • 4959 – nonagonal number
  • 4960 – tetrahedral number; greater of fourth pair of Smith brothers
  • 4970 – pronic number
  • 4991 – Lucas–Carmichael number
  • 4993 – balanced prime

    • References

    4000 (number) Wikipedia
    (Text) CC BY-SA


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