Properties of the Number 57113

Fifty-Seven Thousand One Hundred Thirteen

Basics

Value: 57112 → 57113 → 57114

Parity: odd

Prime: No

Previous Prime: 57107

Next Prime: 57119

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 41 × 199

Divisors: 1, 7, 41, 199, 287, 1393, 8159, 57113

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111100011001

Octal: 157431

Duodecimal: 29075

Hexadecimal: df19

Square: 3261894769

Square Root: 238.98326301228713

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 (1 - x)/(1 - 2·x + 3·x²) in powers of x. A87455

Let φ = arccos(1/3), the dihedral angle of the regular tetrahedron. Then cos(n*φ) = a(n)/3ⁿ. A25172

Numbers that are the sum of four third powers in nine or more ways. A345146

Numbers that are the sum of four third powers in exactly nine ways. A345154

Positions of permutations produced by the transposition sequence A057112 in A055089. A57113

Table, T, read by antidiagonals where T(-j,k) = ((1+sqrt(j))^k + (1-sqrt(j))^k)/2. A221131