Properties of the Number 82966

Eighty-Two Thousand Nine Hundred Sixty-Six

Basics

Value: 82965 → 82966 → 82967

Parity: even

Prime: No

Previous Prime: 82963

Next Prime: 82981

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 × 13 × 3191

Divisors: 1, 2, 13, 26, 3191, 6382, 41483, 82966

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100010000010110

Octal: 242026

Duodecimal: 4001A

Hexadecimal: 14416

Square: 6883357156

Square Root: 288.0381919121143

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

Expansion of ∑_k>0 x^4·k/(1-x^k)⁵. A363608

Expansion of ∑_k>0 x^4·k/(1+x^k)⁵. A363618

Number of 2 X n 0..3 arrays with no element equal to one plus the sum of elements to its left or zero plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4. A241055

Number of binary words w of length n such that the number of distinct blocks of length k that w contains is <= k+2 for all k. A297526

Number of inequivalent ways (mod D₄) three checkers can be placed on an n X n board. A82966