Properties of the Number 12584

Twelve Thousand Five Hundred Eighty-Four

Basics

Value: 12583 → 12584 → 12585

Parity: even

Prime: No

Previous Prime: 12583

Next Prime: 12589

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 11 ² × 13

Divisors: 1, 2, 4, 8, 11, 13, 22, 26, 44, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 11000100101000

Octal: 30450

Duodecimal: 7348

Hexadecimal: 3128

Square: 158357056

Square Root: 112.17842929904127

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 1/(1 - x⁵ - x⁶ - x⁷ - x⁸ + x¹³). A173924

Number of "cubic partitions" of n: expansion of ∏_k>0 1/((1-x^2k)²*(1-x^2k-1)) in powers of x. A2513

Column 0 of square array A211970 (in which column 1 is A000041). A211971

Number A(n,k) of n-length words w over a k-ary alphabet {a₁,...,a_k} such that w contains never more than j consecutive letters a_j (for 1<=j<=k); square array A(n,k), n>=0, k>=0, read by antidiagonals. A242464

Coefficients in a q-analog of the function LambertW(-2·x)/(-2·x), as a triangle read by rows. A152555

Positions of 3's in A234323. A234804

a(n) = 26·n². A244633

Number of free pure achiral multifunctions with one atom and n positions. A317883

Numbers k such that (k, σ(k)) lies on a circle with integral radius centered at the origin, i.e., k² + σ(k)² is a square. A66764

Number of partitions of n with parts occurring at most thrice and an even number of parts. Row sums of A098489. A98491