4000 (number)

4000 (four thousand) 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 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

4027 – super-prime

4028 – sum of the first 45 primes

4030 – third weird number

4032 – pronic number

4033 – sixth super-Poulet number; strong pseudoprime in base 2

4060 – tetrahedral number

4073 – Sophie Germain prime

4079 – safe prime

4091 – super-prime

4095 – 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

2

n

−

1

{\displaystyle 2^{n}-1}

4096 = 642 = 163 = 84 = 46 = 212, smallest number with exactly 13 factors, a superperfect number

4098 – the fifth maximum-score busy beaver number

4100 to 4199

4104 = 23 + 163 = 93 + 153

4127 – safe prime

4133 – super-prime

4139 – safe prime

4140 – Bell number

4141 – centered square number

4147 – smallest cyclic number in duodecimal represented in base-12 notation as 2497122×4147dez = 4972123×4147dez = 7249124×4147dez = 972412

4153 – super-prime

4160 – pronic number

4166 – centered heptagonal number

4167 = 7! − 6! − 5! − 4! − 3! − 2! − 1!, number of planar partitions of 14

4169 – a number of points of norm <= 10 in cubic lattice

4181 – Fibonacci number, Markov number

4186 – triangular number

4187 – factor of R13, the record number of wickets taken in first-class cricket by Wilfred Rhodes

4199 – highly cototient number, product of three consecutive primes

4200 to 4299

4200 – nonagonal number, pentagonal pyramidal number, largely composite number

4210 – 11th semi-meandric number

4211 – Sophie Germain prime

4213 – Riordan number

4217 – super-prime, happy number

4219 – cuban prime of the form x = y + 1, centered hexagonal 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

4273 – super-prime, number of non-isomorphic set-systems of weight 11

4278 – triangular number

4279 – little Schroeder number

4283 – safe prime

4289 – highly cototient number

4290 – pronic number

4300 to 4399

4320 – largely composite number

4324 – 23rd square pyramidal number

4325 – centered square number

4339 – super-prime, twin prime

4349 – Sophie Germain prime

4351 – Normalized total height of all rooted trees on 6 labeled nodes

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

4374 – The largest number such that both it and the next number (4375) are 7-smooth

4375 – perfect totient number (the smallest not divisible by 3)

4391 – Sophie Germain prime

4397 – super-prime

4400 to 4499

4409 – Sophie Germain prime, highly cototient number, balanced prime, 600th prime number

4410 – member of the Padovan sequence

4411 – centered heptagonal number

4421 – super-prime, alternating factorial

4422 – pronic number

4425 = 15 + 25 + 35 + 45 + 55

4438 – sum of the first 47 primes

4446 – nonagonal number

4447 – cuban prime of the form x = y + 1

4457 – balanced prime

4463 – super-prime

4465 – triangular number

4481 – Sophie Germain prime

4489 = 672, centered octagonal number

4495 – tetrahedral number

4500 to 4599

4503 – largest number not the sum of four or fewer squares of composites

4513 – centered square number

4516 – centered pentagonal number

4517 – super-prime, happy number

4522 – decagonal number

4547 – safe prime

4549 – super-prime

4556 – pronic number

4560 – triangular number

4567 – super-prime

4579 – octahedral number

4597 – balanced prime

4600 to 4699

4607 – Woodall number

4619 – highly cototient number

4620 – largely composite number

4641 – magic constant of n × n normal magic square and n-queens problem for n = 21

4655 – number of free decominoes

4656 – triangular number

4657 – balanced prime

4661 – sum of the first 48 primes

4663 – super-prime, centered heptagonal number

4679 – safe prime

4680 – largely composite number

4681 – eighth super-Poulet number

4688 – 2-automorphic number

4689 – sum of divisors and number of divisors are both triangular numbers

4691 – balanced prime

4692 – pronic number

4699 – nonagonal number

4700 to 4799

4703 – safe prime

4705 = 482 + 492 = 172 + 182 + ... + 262, centered square number

4727 – sum of the squares of the first twelve primes

4731 – centered pentagonal number

4733 – Sophie Germain prime

4753 – triangular number

4759 – super-prime

4761 = 692, centered octagonal number

4769 = number of square (0,1)-matrices without zero rows and with exactly 5 entries equal to 1

4782 - year in which the Gregorian calendar will begin to differ from the tropical year by one SI day.