Properties of the Number 82991

Eighty-Two Thousand Nine Hundred Ninety-One

Basics

Value: 82990 → 82991 → 82992

Parity: odd

Prime: No

Previous Prime: 82981

Next Prime: 82997

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 37 × 2243

Divisors: 1, 37, 2243, 82991

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100010000101111

Octal: 242057

Duodecimal: 4003B

Hexadecimal: 1442f

Square: 6887506081

Square Root: 288.0815856662831

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+2)X(k+2) 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order. A205273

Numbers k such that k⁶ + 82991 is prime. A126893

Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order. A205266

Number of (n+2)X6 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally, and new values 0..1 introduced in row major order. A205269

a(1) = 1 and for n > 1, a(n) = 2·length of the cycle reached for the map x -> A062401(x), starting at n [where A062401(n) = φ(σ(n))], or -1 if no finite cycle is ever reached. A82991