Properties of the Number 13564

Thirteen Thousand Five Hundred Sixty-Four

Basics

Value: 13563 → 13564 → 13565

Parity: even

Prime: No

Previous Prime: 13553

Next Prime: 13567

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 3391

Divisors: 1, 2, 4, 3391, 6782, 13564

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011111100

Octal: 32374

Duodecimal: 7A24

Hexadecimal: 34fc

Square: 183982096

Square Root: 116.46458689232534

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

Fibonacci sequence beginning 2, 21. A294116

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. 1/(1 - ∑_j=1..k (exp(j·x) - 1)/j). A355427

Number of compositions of n with exactly 2 transitions between different parts. A244714

a(n) = n! * [xⁿ] 1/(1 - ∑_k=1..n (exp(k·x) - 1)/k). A355428

a(1) = 1; a(n+1) is the smallest k > a(n) such that 2^k == 2^a(n) (mod a(n)). A306829

The fixed points of A355702. A356017

Numbers having four 4's in base 6. A43388

Number of nX3 1..4 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in increasing order. A166820

Expansion of e.g.f. arcsinh(log(x+1)/exp(x)). A13564

Number of (n+1) X 4 binary arrays with every 2 X 2 subblock trace equal to exactly one or two horizontal and vertical neighbor 2 X 2 subblock traces. A186933