Properties of the Number 6366

Six Thousand Three Hundred Sixty-Six

Basics

Value: 6365 → 6366 → 6367

Parity: even

Prime: No

Previous Prime: 6361

Next Prime: 6367

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1061

Divisors: 1, 2, 3, 6, 1061, 2122, 3183, 6366

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100011011110

Octal: 14336

Duodecimal: 3826

Hexadecimal: 18de

Square: 40525956

Square Root: 79.78721702127478

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

The number of permutations p of {1,...,n} such that |p(i)-p(i+1)| is in {2,3} for all i from 1 to n-1. A174703

Positive integers n such that n¹¹ + 1 is semiprime. A105122

Numbers in which 6 outnumbers all other digits together. A292736

Array read by antidiagonals: T(n,k) = number of rooted 2-dimensional polyominoes with k cells, the cells being regular n-gons, with no symmetries removed. A94166

Maximum number of regions defined by n zigzag-lines in the plane when a zigzag-line is defined as consisting of two parallel infinite half-lines joined by a straight line segment. A117625

Numbers n with digits 3 and 6 only. A284633

a(n) = ∑_{k=0..floor(n/4)} binomial(n-1-3·k,n-4·k) * binomial(2·k,k). A360310

Expansion of e.g.f. A(x) satisfying A(x)² = exp(x) * A(x·A(x)) with A(0) = 0. A367390

Number of partitions p of n such that (number of distinct parts of p) >= max(p) - min(p). A239958

Expansion of ∏_n>=1 (1 - x^6·n)/(1 - xⁿ)⁶ in powers of x. A277283