Properties of the Number 58157

Fifty-Eight Thousand One Hundred Fifty-Seven

Basics

Value: 58156 → 58157 → 58158

Parity: odd

Prime: No

Previous Prime: 58153

Next Prime: 58169

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 11 × 17 × 311

Divisors: 1, 11, 17, 187, 311, 3421, 5287, 58157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110001100101101

Octal: 161455

Duodecimal: 297A5

Hexadecimal: e32d

Square: 3382236649

Square Root: 241.15762480170517

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

Number of compositions of n whose run-lengths are all equal. A329738

Numerators of partial sums for a series of (4/5)*ζ(3). A130551

Numerator of (5/2)*∑_i=1..n (-1)^i-1/(i³*C(2·i,i)). A89638

Expansion of (1/(1 - x))*∏_k>=1 (1 - x^prime(k))/(1 - x^k). A303663

Triangle read by rows: numerators of c_n,k, n >= 0, 0 <= k <= n, used in the proof that ζ(3) is irrational. A303988

The smallest positive number k such that A066686(k,n) is a substring of A051129(n,k), or -1 if no such k exists. A390224

Triangle read by rows: T(n,k) is the number of labeled monoids of order n with k idempotents. A58157

Denominator of (5/2)*∑_i=1..n (-1)^i-1/(i³*C(2·i,i)). A89639

Number of (n+1)X(4+1) 0..1 arrays with no 2X2 subblock having its minimum diagonal element less than its minimum antidiagonal element. A251096

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