Properties of the Number 12580

Twelve Thousand Five Hundred Eighty

Basics

Value: 12579 → 12580 → 12581

Parity: even

Prime: No

Previous Prime: 12577

Next Prime: 12583

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 × 17 × 37

Divisors: 1, 2, 4, 5, 10, 17, 20, 34, 37, 68

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100100100

Octal: 30444

Duodecimal: 7344

Hexadecimal: 3124

Square: 158256400

Square Root: 112.16059914247963

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 permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=1, r=5, I={0,2,3}. A79955

a(n) = a(n-1) + a(n-5); a(0) = ... = a(4) = 1. A3520

Number of polygons formed when every pair of vertices of a regular n-gon are joined by an infinite line. A344857

4-dimensional figurate numbers: a(n) = (5·n-1)*binomial(n+2,3)/4. A2418

Expansion of 1/(1 -x⁵ -x⁶ -x⁷ - ...). A17899

Expansion of 1/(1 - x - 2·x³ - x⁵). A193147

A quadrisection of 1/(1-x-x⁵). A99235

Number of n-step one-sided prudent walks, avoiding exactly two consecutive west steps (can have three or more west steps). A190525

Triangle read by rows: T(n,k) is the number of digraphs on n labeled nodes with k arcs and a global source and sink, n >= 1, k = 0..max(1,n-1)*(n-2)+1. A350791

dot_product(n,n-1,...2,1)*(7,8,...,n,1,2,3,4,5,6). A26066