Properties of the Number 13565

Thirteen Thousand Five Hundred Sixty-Five

Basics

Value: 13564 → 13565 → 13566

Parity: odd

Prime: No

Previous Prime: 13553

Next Prime: 13567

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 2713

Divisors: 1, 5, 2713, 13565

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011111101

Octal: 32375

Duodecimal: 7A25

Hexadecimal: 34fd

Square: 184009225

Square Root: 116.46887996370532

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 n-step self-avoiding walks on cubic lattice with first step specified. A78717

Numbers k such that k³ contains a pandigital substring. A115933

Number of even-length strict integer partitions of 2n+1. A343942

Semiprime numbers whose digit string can be partitioned into three parts such that the product of the first two parts equals the third part. A280636

Number of strict odd-length integer partitions of 2n + 1. A346634

Starting positions of strings of three 4's in the decimal expansion of π. A83615

Numbers k such that f(k), f(k+1) and f(k+2) are all primes, where f(k) = 8·k² + 4·k + 1. A103777

Number of permutations P of 1..n such that in P and in the inverse of P, every pair of adjacent numbers and the first and last number, are relatively prime. A117542

Sums of Pythagorean sextuples in increasing order: The sums of sets of six natural numbers which correspond to the lengths of the edges of a tetrahedron whose four faces are all different Pythagorean triangles. A248548

Number of 2Xn 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2 or 4 neighboring 1s. A297734