Properties of the Number 87165

Eighty-Seven Thousand One Hundred Sixty-Five

Basics

Value: 87164 → 87165 → 87166

Parity: odd

Prime: No

Previous Prime: 87151

Next Prime: 87179

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 13 × 149

Divisors: 1, 3, 5, 9, 13, 15, 39, 45, 65, 117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 10101010001111101

Octal: 252175

Duodecimal: 42539

Hexadecimal: 1547d

Square: 7597737225

Square Root: 295.2371927789587

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Integers n such that for all i > n the largest prime factor of product(i+k, {k,0,11}) exceeds the largest prime factor of product(n+k, {k,0,11}). A200569

a(n) = (44ⁿ - 1)/43. A218747

Number of balanced numbers > 2^n-1 and <= 2ⁿ. A78555

Number of (n+2) X 6 0..2 matrices with each 3 X 3 subblock idempotent. A224602

a(n)=1 when n == 1 (mod 4), otherwise a(n) = a(n - ceiling(n/4)) + 1. Removing all the 1's results in the original sequence with every term incremented by 1. A87165