Properties of the Number 51583

Fifty-One Thousand Five Hundred Eighty-Three

Basics

Value: 51582 → 51583 → 51584

Parity: odd

Prime: No

Previous Prime: 51581

Next Prime: 51593

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 7369

Divisors: 1, 7, 7369, 51583

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100100101111111

Octal: 144577

Duodecimal: 25A27

Hexadecimal: c97f

Square: 2660805889

Square Root: 227.11891158597956

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

Matrix inverse of A100862. A107102

a(n) = M(n) + m(n) for n >= 2, where M(n) = max{ a(i) + a(n-i): i = 1..n-1 }, m(n) = min{ a(i) + a(n-i): i = 1..n-1 }. A22905

A060448 sorted and duplicates removed. A60636

Column 1 of triangle A107102, which is the matrix inverse of A100862. A107103

G.f. satisfies: A(x) = 1/(1 - x/A(-x·A(x)⁶)²). A213228

a(n) = (2·n+9)!!/9!!, related to A001147 (odd double factorials). A51583

The number of states in a Tower of Hanoi puzzle with three pegs and n discs, where a larger disc can be placed directly on top of a smaller one at most once per peg. A243521