Properties of the Number 13263

Thirteen Thousand Two Hundred Sixty-Three

Basics

Value: 13262 → 13263 → 13264

Parity: odd

Prime: No

Previous Prime: 13259

Next Prime: 13267

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 4421

Divisors: 1, 3, 4421, 13263

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111001111

Octal: 31717

Duodecimal: 7813

Hexadecimal: 33cf

Square: 175907169

Square Root: 115.16509887982556

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 of Sommerville symmetrical cyclic compositions (on symmetric necklaces) of n that are Carlitz (adjacent parts on the circle are distinct). A292200

Numbers n such that n+2·prime(n) is a perfect square. A104776

Number of solutions to c(1)*prime(2) + ... + c(2n-1)*prime(2n) = -1, where c(i) = +-1 for i > 1, c(1) = 1. A261062

a(n) = 9·n² - 11·n + 3. A214660

Column 1 of triangle A055288. A55289

Number of possible dimensions for commutators of n X n matrices; it is independent of the field. Or, given a partition P = (p₁, p₂, ..., p_m) of n with p₁ >= p₂ >= ... >= p_m, let S(P) = sum_j (2j-1)p_j; then a(n) = number of integers that are an S(P) for some partition. A69999

Number of possible ordered pairs (n₁, S) where (n₁, n₂, ..., n_k) is a partition of n, n₁ is the largest element of the partition, and S = ∑_j=1..k n_j². A354468

Expansion of e.g.f. sinh(log(x+1) - sinh(x)). A13263