Properties of the Number 10832

Ten Thousand Eight Hundred Thirty-Two

Basics

Value: 10831 → 10832 → 10833

Parity: even

Prime: No

Previous Prime: 10831

Next Prime: 10837

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 677

Divisors: 1, 2, 4, 8, 16, 677, 1354, 2708, 5416, 10832

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001010000

Octal: 25120

Duodecimal: 6328

Hexadecimal: 2a50

Square: 117332224

Square Root: 104.0768946500615

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

Triangle read by rows: T(n,k) is the number of permutations of [n] having k cycles with at most 2 alternating runs (it is assumed that the smallest element of the cycle is in the first position), 0<=k<=n. A187247

G.f.: ∏_k>=1 (1 + x^k) / (1 - x^k³). A280277

Expansion of (theta₃(z)*theta₃(23z)+theta₂(z)*theta₂(23z))⁴. A28660

Row sums of correlation triangle for (1+x)³/(1-x). A115293

Number of subsets of {1..n} containing n such that only one set can be obtained by choosing a different prime factor of each element. A370588

Number of points on surface of dodecahedron: a(n) = 30·n² + 2 for n > 0. A5903

The sequence M(n) in A022905. A22908

Diagonal sums of A104730. A131298

a(n) = 64·n² + 16. A157912

a(n) = 169·n² + 2·n. A158220