Properties of the Number 12585

Twelve Thousand Five Hundred Eighty-Five

Basics

Value: 12584 → 12585 → 12586

Parity: odd

Prime: No

Previous Prime: 12583

Next Prime: 12589

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 839

Divisors: 1, 3, 5, 15, 839, 2517, 4195, 12585

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100101001

Octal: 30451

Duodecimal: 7349

Hexadecimal: 3129

Square: 158382225

Square Root: 112.18288639538564

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

G.f. A(x) satisfies A(x) = P(x·A(x)) where P(x) = A(x/P(x)) is the g.f. of the partition numbers A000041. A109085

Number of subsets of {1..n} such that a unique set can be obtained by choosing a different binary index of each element. A370638

Sum over all partitions of n of the number of distinct parts i of multiplicity i. A276428

a(n) = ∑_k=0..n 2^n-k*C(2n,n-k). A128418

The r-th term of the n-th row of the following array contains the sum of r successively decreasing integers beginning from n. 0 < r <= n. Sequence contains the leading diagonal. A110427

a(n) = 839·n. A135639

Triangular array: the fission of ((2x+1)ⁿ) by (q(n,x)), where q(n,x)=xⁿ+x^n-1+...+x+1. A193860

Number of partitions p of n such that (number of even numbers in p) >= 2*(number of odd numbers in p). A241644

Divisors of 453060. A134950

McKay-Thompson series of class 14B for Monster. A58503