Properties of the Number 12592

Twelve Thousand Five Hundred Ninety-Two

Basics

Value: 12591 → 12592 → 12593

Parity: even

Prime: No

Previous Prime: 12589

Next Prime: 12601

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 787

Divisors: 1, 2, 4, 8, 16, 787, 1574, 3148, 6296, 12592

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000100110000

Octal: 30460

Duodecimal: 7354

Hexadecimal: 3130

Square: 158558464

Square Root: 112.2140811128443

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

T(n,k) is the number of n X k array permutations with each element moving one space diagonally, horizontally or vertically. A189355

Expansion of 1/(1 - x·A002296(x)). A186184

5-untouchable numbers. A284187

Number of partitions p of n such that (maximal multiplicity of the parts of p) >= (maximal part of p). A240313

A 2nd-order recursion: a(1)=a(2)=1; a(n) = prime(a(n-1)) + primepi(a(n-2)) = A000040(a(n-1)) + A000720(a(n-2)). A82094

C(n-3,3)+C(n-7,7)+...+C(n-(4·floor((n-4)/4)+3),4·floor((n-4)/4)+3). A101552

a(n) is n times the minimum moment of inertia of an n-celled polyomino about an axis through the center of mass perpendicular to the plane of the polyomino, with a unit point mass in the center of each of the cells. A365964

Numbers k such that 57·2^k + 1 is prime. A2274

Riordan array (1/(1-2·x), x*(1+x)/(1-2·x)). A121574

Numbers n such that d(n-1) = d(n+1) = 6, where d(k) is the number of divisors of k (A000005). A190267