Properties of the Number 12668

Twelve Thousand Six Hundred Sixty-Eight

Basics

Value: 12667 → 12668 → 12669

Parity: even

Prime: No

Previous Prime: 12659

Next Prime: 12671

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 3167

Divisors: 1, 2, 4, 3167, 6334, 12668

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101111100

Octal: 30574

Duodecimal: 73B8

Hexadecimal: 317c

Square: 160478224

Square Root: 112.55221010713205

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 walks on square lattice (no points repeated, no adjacent points unless consecutive in path). A173380

Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = [ ∑_k>=0 y^k * R_k(y)ⁿ ]ⁿ for n>=0, with R₀(y) = 1. A124540

Number of partitions of n containing a clique of size 9. A183566

Positive integers k such that k²⁰ + 1 is semiprime (A001358). A105282

Row 2 of rectangular table A124540; equals the self-convolution of A124532 (row 2 of table A124530). A124542

T(n,k)=Number of nXk arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two. A221408

Erroneous version of A173380. A2932

Pisot sequence L(7,8). A48588

Pisot sequence L(8,10). A48591

Number of nX3 arrays of occupancy after each element stays put or moves to some horizontal or vertical neighbor, with every occupancy equal to zero or two. A221404