Properties of the Number 82691

Eighty-Two Thousand Six Hundred Ninety-One

Basics

Value: 82690 → 82691 → 82692

Parity: odd

Prime: No

Previous Prime: 82657

Next Prime: 82699

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 7 × 11813

Divisors: 1, 7, 11813, 82691

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100001100000011

Octal: 241403

Duodecimal: 3BA2B

Hexadecimal: 14303

Square: 6837801481

Square Root: 287.560428432008

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

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order. A210086

Number of dominating subsets of the wheel graph W_n. A213661

Number of (n+1)X3 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order. A210080

Number of (n+1)X4 0..3 arrays containing all values 0..3 with every 2X2 subblock having one, three or four distinct values, and new values 0..3 introduced in row major order. A210081

T(n,k)=Number of n-step S, NW and NE-moving king's tours on a kXk board summed over all starting positions. A187377

a(1)=1, a(2)=2, then if the first 3·2^k-1 terms are a(1), a(2), ..., a(3·2^k - 1), the first 3·2^k+1-1 terms are a(1), a(2), ..., a(3·2^k - 1), a(1), a(2), ..., a(3·2^k - 1), a(3·2^k-1) + 1. A82691

Number of 10-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187384