Properties of the Number 86880

Eighty-Six Thousand Eight Hundred Eighty

Basics

Value: 86879 → 86880 → 86881

Parity: even

Prime: No

Previous Prime: 86869

Next Prime: 86923

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 5 × 181

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10101001101100000

Octal: 251540

Duodecimal: 42340

Hexadecimal: 15360

Square: 7548134400

Square Root: 294.75413483104865

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

Number of 6-step left-handed knight's tours (moves only out two, left one) on an n X n board summed over all starting positions. A187176

Number of (n+1) X (6+1) 0..1 arrays with every 2 X 2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253229

G.f. A(x) satisfies: 1 = ...((((A(x) - 2·x)² - 4·x²)² - 8·x³)² - 16·x⁴)² -... - 2ⁿ*xⁿ)² -...., a series of infinite nested squares. A274850

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with every 2X2 subblock diagonal minimum minus antidiagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal maximum nondecreasing vertically. A253231

a(n) = floor( sum(k=0, infinity, kⁿ/(k!)² ) ); related to generalized Bell numbers. A86880