Properties of the Number 13581

Thirteen Thousand Five Hundred Eighty-One

Basics

Value: 13580 → 13581 → 13582

Parity: odd

Prime: No

Previous Prime: 13577

Next Prime: 13591

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 503

Divisors: 1, 3, 9, 27, 503, 1509, 4527, 13581

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010100001101

Octal: 32415

Duodecimal: 7A39

Hexadecimal: 350d

Square: 184443561

Square Root: 116.53754759733019

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

Padovan sequence (or Padovan numbers): a(n) = a(n-2) + a(n-3) with a(0) = 1, a(1) = a(2) = 0. A931

Number of n-th generation triangles in the tiling of the hyperbolic plane by triangles with angles {π/2, π/3, 0}. A96231

For n = 0, 1, 2, a(n) = n; thereafter, a(n) = 2·a(n-1) - a(n-2) + a(n-3). A5314

Expansion of 1/(1-x²-x³). A182097

a(n+3) = 3·a(n+2) - 2·a(n+1) + a(n). A95263

Padovan's spiral numbers. A134816

Spiral of triangles around a hexagon. A164001

Numbers k such that σ(k) = σ(k+4). A15863

Expansion of (1 - x)/(1 - x² - x³). A78027

Expansion of (1+x)/(1-x²+x³). A124745