Properties of the Number 13226

Thirteen Thousand Two Hundred Twenty-Six

Basics

Value: 13225 → 13226 → 13227

Parity: even

Prime: No

Previous Prime: 13219

Next Prime: 13229

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 17 × 389

Divisors: 1, 2, 17, 34, 389, 778, 6613, 13226

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110101010

Octal: 31652

Duodecimal: 77A2

Hexadecimal: 33aa

Square: 174927076

Square Root: 115.00434774390054

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 integer compositions n that are the first sums of a unique nonnegative sequence. A391643

Number of partitions of n for which 2*(number of distinct parts) > (number of parts). A237365

T(n,n+4), T given by A027960. A27964

Generating function: 1/((1-x)*(1-x²)²*(1-x³)³*(1-x⁴)⁴). A64349

A generalized partition function. A2598

n·10²-1, n·10²-3, n·10²-7 and n·10²-9 are all prime. A64976

a(n) = 529·n + 1. A158368

a(n) = T(2·n+1, n+2), T given by A027011. A27017

Binomial transform of [1, 3, 3, 1, 1, -1, 1, -1, 1, ...]. A140226

Expansion of 1/((1-5x)(1-6x)(1-11x)(1-12x)). A28179