Properties of the Number 13864

Thirteen Thousand Eight Hundred Sixty-Four

Basics

Value: 13863 → 13864 → 13865

Parity: even

Prime: No

Previous Prime: 13859

Next Prime: 13873

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 1733

Divisors: 1, 2, 4, 8, 1733, 3466, 6932, 13864

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000101000

Octal: 33050

Duodecimal: 8034

Hexadecimal: 3628

Square: 192210496

Square Root: 117.74548823628021

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) = |{m : multiplicative order of 3 mod m = n}|. A59885

a(n) = |{m : multiplicative order of 9 mod m = n}|. A59891

Number of partitions p of n such that 2·min(p) is a part of p. A238589

Number of partitions p of n such that median(p) <= multiplicity(max(p)). A240208

Expansion of e.g.f. exp(g⁴ - 1), where g = 1+x·g² is the g.f. of A000108. A391544

Number of compositions (ordered partitions) of n into parts having the same number of prime divisors (counted with multiplicity) as n. A301333

Powers of sqrt(5) - 1 rounded down. A179241

Number of length n+4 0..1 arrays with at most one downstep in every n consecutive neighbor pairs. A255995

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 547", based on the 5-celled von Neumann neighborhood. A272840

Expansion of 1/(1 - ∑_k>=2 floor(bigomega(k)/2)*floor(2/bigomega(k))*x^k), where bigomega(k) is the number of prime divisors of k counted with multiplicity (A001222). A280238