Properties of the Number 16365

Sixteen Thousand Three Hundred Sixty-Five

Basics

Value: 16364 → 16365 → 16366

Parity: odd

Prime: No

Previous Prime: 16363

Next Prime: 16369

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 1091

Divisors: 1, 3, 5, 15, 1091, 3273, 5455, 16365

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11111111101101

Octal: 37755

Duodecimal: 9579

Hexadecimal: 3fed

Square: 267813225

Square Root: 127.92575972023774

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 2n-bead balanced binary necklaces of fundamental period 2n, equivalent to reversed complement; also Dirichlet convolution of b_n=2^n-1 with μ(n); also number of components of Mandelbrot set corresponding to Julia sets with an attractive n-cycle. A740

Number of 2n-bead balanced binary necklaces of fundamental period 2n which are equivalent to their reverse, complement and reversed complement. A45683

G.f. A(x) satisfies: x = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x)ⁿ. A355351

Numbers m such that [A070080(m), A070081(m), A070082(m)] is a right integer triangle. A70136

Number of primitive (aperiodic) word structures of length n which contain exactly two different symbols. A56278

Numbers k such that [A070080(k), A070081(k), A070082(k)] is a right integer triangle with relatively prime side lengths. A70137

Number of partitions p of n such that 3·min(p) is a part of p. A238590

T(n,k)=Number of nXk arrays of permutations of 0..n·k-1 with rows nondecreasing modulo 6 and columns nondecreasing modulo 7. A264862

Number of Barlow packings with group P63/mmc(S) that repeat after 4n layers. A11946

The number of partitions of n which represent Chomp positions with Sprague-Grundy value 8. A284781