Properties of the Number 12737

Twelve Thousand Seven Hundred Thirty-Seven

Basics

Value: 12736 → 12737 → 12738

Parity: odd

Prime: No

Previous Prime: 12721

Next Prime: 12739

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 47 × 271

Divisors: 1, 47, 271, 12737

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111000001

Octal: 30701

Duodecimal: 7455

Hexadecimal: 31c1

Square: 162231169

Square Root: 112.8583182578936

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 x/((1 - x - x⁴)*(1 - x)⁷). A145136

Numbers n such that A003144(n) = floor(α*n) + 1, where α = 1.839... is the positive real zero of x³-x²-x-1. A275158

a(n) is the smallest positive integer which can be represented as the sum of distinct nonzero n-gonal numbers in exactly n ways, or 0 if no such integer exists. A350207

a(n) = floor((10·n³ + 63·n² + 126·n + 89) / 72). A254874

Numbers n such that A003145(n) = floor(α²*n)+1, where α = 1.839... is the positive real zero of x³-x²-x-1. A278352

Numbers n such that A003146(n) = floor(α³*n)+1, where α = 1.839... is the positive real zero of x³-x²-x-1. A278353

Numbers k such that the continued fraction for sqrt(k) has period 86. A20425

Number of nX3 arrays of the minimum value of corresponding elements and their horizontal, vertical or diagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX3 array. A219811

Records in A002945 (continued fraction expansion of cube root of 2). A268515

Number of ordered quadruples of integers from [ 2,n ] with no common factors between triples. A15639