Properties of the Number 13265

Thirteen Thousand Two Hundred Sixty-Five

Basics

Value: 13264 → 13265 → 13266

Parity: odd

Prime: No

Previous Prime: 13259

Next Prime: 13267

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 7 × 379

Divisors: 1, 5, 7, 35, 379, 1895, 2653, 13265

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001111010001

Octal: 31721

Duodecimal: 7815

Hexadecimal: 33d1

Square: 175960225

Square Root: 115.17378173872733

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 2 X 2 singular integer matrices with elements from {0,...,n}. A59306

Pascal-(1,7,1) array. A81582

Sum over all Dyck paths of semilength n of products over all peaks p of y_p, where y_p is the y-coordinate of peak p. A258173

Expansion of x²*(2 - x + x²) / ((1 + x)*(1 - x)⁴). A26035

Number of self-avoiding polygons with perimeter n on hexagonal [ =triangular ] lattice. A36418

First member of the Diophantine pair (m, k) that satisfies 8*(m² + m) = k² + k; a(n) = m. A336623

Number of ordered factorizations with 3 levels of parentheses indexed by prime signatures: A050358(A025487(n)). A50359

Smallest k such that 6ⁿ+k, 6ⁿ+k+g, 6ⁿ+k+2·g are consecutive primes in arithmetic progression. A233546

Expansion of ∏_k>=0 1/(1-x^4·k+1)^4·k+1. A285048

Expansion of ∏_k>=0 1/(1 + x^4·k+1)^4·k+1. A285287