4000 (number)

4000 is the natural number following 3999 and preceding 4001. It is a decagonal number.

Selected numbers in the range 4001–4999

4001 to 4099

4005 – triangular number4007 – safe prime4010 – magic constant of n × n normal magic square and n-queens problem for n = 204013 – balanced prime4019 – Sophie Germain prime4021 – prime of the form 2p-14027 – super-prime4028 – sum of the first 45 primes4030 – third weird number4031 – sum of the cubes of the first six primes4032 – pronic number4033 – sixth super-Poulet number; strong pseudoprime in base 24057 – prime of the form 2p-14060 – tetrahedral number4073 – Sophie Germain prime4079 – safe prime4091 – super-prime4095 – triangular number and odd abundant number; number of divisors in the sum of the fifth and largest known unitary perfect number, largest Ramanujan–Nagell number of the form 4096 = 64² = 16³ = 8⁴ = 4⁶ = 2¹², smallest number with exactly 13 factors, a superperfect number

4100 to 4199

4104 = 2³ + 16³ = 9³ + 15³4127 – safe prime4133 – super-prime4139 – safe prime4140 – Bell number4141 – square number">square number">square number4147 – smallest cyclic number in duodecimal represented in base-12 notation as 2497₁₂
2×4147_dez = 4972₁₂
3×4147_dez = 7249₁₂
4×4147_dez = 9724₁₂4153 – super-prime4160 – pronic number4166 – centered heptagonal number4167 = 7! − 6! − 5! − 4! − 3! − 2! − 1!, number of planar partitions of 144169 – a number of points of norm <= 10 in cubic lattice4177 – prime of the form 2p-14181 – Fibonacci number, Markov number4186 – triangular number4187 – factor of R₁₃, the record number of wickets taken in first-class cricket by Wilfred Rhodes4199 – highly cototient number, product of three consecutive primes

4200 to 4299

4200 – nonagonal number, pentagonal pyramidal number, largely composite number4210 – 11th semi-meandric number4211 – Sophie Germain prime4213 – Riordan number4217 – super-prime, happy number4219 – cuban prime of the form x = y + 1, centered hexagonal number4225 = 65², centered octagonal number4227 – sum of the first 46 primes4240 – Leyland number4257 – decagonal number4259 – safe prime4261 – prime of the form 2p-14271 – Sophie Germain prime4273 – super-prime, number of non-isomorphic set-systems of weight 114278 – triangular number4279 – little Schroeder number4283 – safe prime4289 – highly cototient number4290 – pronic number

4300 to 4399

4320 – largely composite number4324 – 23rd square pyramidal number4325 – centered square number4339 – super-prime, twin prime4349 – Sophie Germain prime4351 – Normalized total height of all rooted trees on 6 labeled nodes4356 = 66², sum of the cubes of the first eleven integers4357 – prime of the form 2p-14359 – perfect totient number4369 – seventh super-Poulet number4371 – triangular number4373 – Sophie Germain prime4374 – The largest number such that both it and the next number are 7-smooth4375 – perfect totient number 4391 – Sophie Germain prime4397 – Year of Comet Hale–Bopp's return, super-prime

4400 to 4499

4400 – the number of missing persons in the sci-fi show The 44004409 – Sophie Germain prime, highly cototient number, balanced prime, 600th prime number4410 – member of the Padovan sequence4411 – centered heptagonal number4421 – super-prime, alternating factorial4422 – pronic number4425 = 1⁵ + 2⁵ + 3⁵ + 4⁵ + 5⁵4438 – sum of the first 47 primes4444 - repdigit4446 – nonagonal number4447 – cuban prime of the form x = y + 14457 – balanced prime4463 – super-prime4465 – triangular number4481 – Sophie Germain prime4489 = 67², centered octagonal number4495 – tetrahedral number

4500 to 4599

4503 – largest number not the sum of four or fewer squares of composites4505 – fifth Zeisel number4513 – centered square number4516 – centered pentagonal number4517 – super-prime, happy number4522 – decagonal number4547 – safe prime4549 – super-prime4556 – pronic number4560 – triangular number4567 – super-prime4579 – octahedral number4597 – balanced prime

4600 to 4699

4604 – sum of the only two known Wieferich primes, 1093 and 35114607 – Woodall number4608 – 3-smooth number 4619 – highly cototient number4620 – largely composite number4621 – prime of the form 2p-14624 = 68², 17³ – 17²4641 – magic constant of n × n normal magic square and n-queens problem for n = 214655 – number of free decominoes4656 – triangular number4657 – balanced prime4661 – sum of the first 48 primes4663 – super-prime, centered heptagonal number4679 – safe prime4680 – largely composite number4681 – eighth super-Poulet number4688 – 2-automorphic number4689 – sum of divisors and number of divisors are both triangular numbers4691 – balanced prime4692 – pronic number4699 – nonagonal number

4700 to 4799

4703 – safe prime4705 = 48² + 49² = 17² + 18² +... + 26², centered square number4727 – sum of the squares of the first twelve primes4731 – centered pentagonal number4733 – Sophie Germain prime4753 – triangular number4759 – super-prime4761 = 69², centered octagonal number4769 = number of square -matrices without zero rows and with exactly 5 entries equal to 14787 – safe prime, super-prime4788 – 14th Keith number4793 – Sophie Germain prime4795 – decagonal number4799 – safe prime

4800 to 4899

4801 – super-prime, cuban prime of the form x = y + 2, smallest prime with a composite sum of digits in base 74830 – pronic number4840 - square yards in an acre4851 – triangular number, pentagonal pyramidal number4862 – Catalan number4871 – Sophie Germain prime4877 – super-prime4879 – 11th Kaprekar number4888 – sum of the first 49 primes

4900 to 4999

4900 = 70², the only square-pyramidal square other than 1 4901 – centered square number4913 = 17³4919 – Sophie Germain prime, safe prime4922 – centered heptagonal number4933 – super-prime4941 – centered cube number4943 – Sophie Germain prime, super-prime4950 – triangular number, 12th Kaprekar number4951 – centered pentagonal number4957 – sum of three and five consecutive primes 4959 – nonagonal number4960 – tetrahedral number; greater of fourth pair of Smith brothers4970 – pronic number4973 – the 666th prime4991 – Lucas–Carmichael number4993 – balanced prime4999 – prime of the form

Prime numbers

There are 119 prime numbers between 4000 and 5000: