About the Number 4,001 (four thousand one)

@MathBabbler tweeted tweet# 4000 on 20 November 2015. There was already a nBAB for the number 4000, so this nBAB for the number 4001 was created.

MathBabbler Number Analyst (MBNA) output:
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4001 is a natural, whole, integer
4001 is odd
4001 proper divisors are: 1,
4001 has 1 proper divisors
4001 is deficient (sum of divisors is 1; ratio: 0.000249938)
4001 is unhappy
4001 is a Squarefree Number
4001 is prime (not composite)
...Sexy prime with 4007
...Sexy Triplet prime with 4007, 4013
...Sexy Quadruple prime with 4007, 4013, 4019
...Twin prime with 4003
...Pythagorean
...Eisenstein
...prime triplet {4001, 4003, 4007}
4001 is Arithmetic (A003601)
4001 in octal is 07641
4001 in hexadecimal is 0xfa1
4001 in binary is 111110100001 (is odious)
4001 nearest square numbers: -32...95 (3969...4096 [64])
sqrt(4001) = 63.2535
ln(4001) = 8.2943
log(4001) = 3.60217
4001 reciprocal is .00024993751562109472631842039490
4001! is inf
4001 is 1273.56 Pi years
4001 is 200 score and 1 year
4001 is 2001^2 - 2000^2 and 2001 + 2000 = 4001
4001 is a multiple of 1 & it contains a 1 (A011531)

log₁₄(4001) = 3.1429, which when rounded to the nearest hundredth equals Pi rounded to the nearest hundredth.

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 20 November 2015