Properties of the Number 13157

Thirteen Thousand One Hundred Fifty-Seven

Basics

Value: 13156 → 13157 → 13158

Parity: odd

Prime: No

Previous Prime: 13151

Next Prime: 13159

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 59 × 223

Divisors: 1, 59, 223, 13157

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001101100101

Octal: 31545

Duodecimal: 7745

Hexadecimal: 3365

Square: 173106649

Square Root: 114.70396680150168

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

Let p = n-th prime == 7 mod 8; a(n) = sum of quadratic nonresidues mod p. A282043

a(n) is the sum of quadratic nonresidues of A002145(n) (the n-th prime == 3 mod 4). A282036

Number of ways to partition n labeled elements into sets of odd sizes, with all sizes different. A32310

Numbers k such that k + prime(k) gives a triangular number. A115882

Number of partitions of n such that (number parts having multiplicity 1) is a part and (number of 1s) is not a part. A241508

Coefficients of replicable function number 12b. A58490

Number of n X 2 0..1 arrays with rows, columns and antidiagonals unimodal and diagonals nondecreasing. A223764

a(n) = n*(n + 5)*(n + 7)/6 + 1. A323221

Number of ways to partition n labeled elements into pie slices of different odd sizes, allowing the pie to be turned over. A32220

a(n) = floor( n*(n-1)*(n-2)/19 ). A11901