Properties of the Number 13137

Thirteen Thousand One Hundred Thirty-Seven

Basics

Value: 13136 → 13137 → 13138

Parity: odd

Prime: No

Previous Prime: 13127

Next Prime: 13147

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 29 × 151

Divisors: 1, 3, 29, 87, 151, 453, 4379, 13137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11001101010001

Octal: 31521

Duodecimal: 7729

Hexadecimal: 3351

Square: 172580769

Square Root: 114.61675270221191

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 e.g.f. (1/x) * Series_Reversion( x * (1 - x)² * exp(-x) ). A377832

G.f.: A(x) = 1 + x*(1 + x*(1 + x*(...(1 + x*(...)⁴ⁿ)...)¹²)⁸)⁴. A138214

Number of 3 X 3 integer matrices with elements in the range [ -n,n ] which represent a rotation of order 2. A53171

a(n) is the smallest number that is the sum of n positive 6th powers in two ways. A343079

Denominators of continued fraction convergents to sqrt(976). A42889

Decimal representation of the middle column of the "Rule 135" elementary cellular automaton starting with a single ON (black) cell. A265700

a(n) = (n-1)! + 1 mod n³. A301317

a(n) = ∑_k=1..n k·tau₃(k), where tau₃ is A007425. A318750

Glaisher's function H'(4n+1) (18 squares version). A2610

a(n) = floor((π/2)ⁿ). A14214