Properties of the Number 13495

Thirteen Thousand Four Hundred Ninety-Five

Basics

Value: 13494 → 13495 → 13496

Parity: odd

Prime: No

Previous Prime: 13487

Next Prime: 13499

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 5 × 2699

Divisors: 1, 5, 2699, 13495

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010010110111

Octal: 32267

Duodecimal: 7987

Hexadecimal: 34b7

Square: 182115025

Square Root: 116.1679818194325

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

a(n) = ∑_i=0..n binomial(i,floor(i/2)). A36256

Number of permutations of [n] whose lengths of increasing runs are factorials. A317132

Number of bipartite partitions of n white objects and 3 black ones. A412

Number of partitions of n in which any two parts differ by at most 7. A218509

Molien series for invariants of finite Coxeter group A₉. A266778

Number of multisets of nonempty words with a total of n letters over quaternary alphabet such that within each prefix of a word every letter of the alphabet is at least as frequent as the subsequent alphabet letter. A293734

Triangle, read by rows, where the n-th row is the first n terms of the n-th self-convolution of the sequence formed by flattening this triangle. A86606

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 k*(k+1) is the median of the primes between k² and (k+1)². A349792

a(n) = ∑_k=0..n (3·k+2)*Catalan(k). A274104