Properties of the Number 10592

Ten Thousand Five Hundred Ninety-Two

Basics

Value: 10591 → 10592 → 10593

Parity: even

Prime: No

Previous Prime: 10589

Next Prime: 10597

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 331

Divisors: 1, 2, 4, 8, 16, 32, 331, 662, 1324, 2648

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100101100000

Octal: 24540

Duodecimal: 6168

Hexadecimal: 2960

Square: 112190464

Square Root: 102.91744264214886

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 T(n,k) of equivalence classes of ways of placing k 2 X 2 tiles in an n X 7 rectangle under all symmetry operations of the rectangle; irregular triangle T(n,k), n>=2, 0<=k<=3·floor(n/2), read by rows. A238555

T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock trace equal to any horizontal or vertical neighbor 2X2 subblock trace. A185769

a(n) = [xⁿ] ∏_k=1..n 1/(x^2·k*(1-x^k)³). A258794

Numbers k such that k and 8·k, taken together, are pandigital. A114126

O.g.f.: ∑_n>=0 2*(n+2)^n-1*xⁿ/(1+n·x)ⁿ. A195254

Molien series for full 8 X 8 Siegel modular group H₃ of order 371589120. A27633

Expansion of Molien series for 8-dimensional complex Clifford group of genus 3 and order 743178240. A39946

First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums. A175534

Number of days in n years (n=4 is the first leap year). A33171

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of max{3i+j-3,i+3j-3} (A204008). A204011