Properties of the Number 12662

Twelve Thousand Six Hundred Sixty-Two

Basics

Value: 12661 → 12662 → 12663

Parity: even

Prime: No

Previous Prime: 12659

Next Prime: 12671

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 × 13 × 487

Divisors: 1, 2, 13, 26, 487, 974, 6331, 12662

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101110110

Octal: 30566

Duodecimal: 73B2

Hexadecimal: 3176

Square: 160326244

Square Root: 112.52555265360841

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-bit legal circular binary words with maximal set of 1's. A253413

a(1) = greatest k such that H(k) - H(4) < 1/3 + 1/4; a(2) = greatest k such that H(k) - H(a(1)) < H(a(1)) - H(4); and for n > 2, a(n) = greatest k such that H(k) - H(a(n-1)) > H(a(n-1)) - H(a(n-2)), where H = harmonic number. A224868

Principal diagonal of the convolution array A213825. A213826

a(n+1) = 2·n*a(n) + 2 with a(0)=1. A99760

a(n) = n! * ∑_k=1..n ( ∑_d∣k (-1)^k/d+1 * d )/(k * (n-k)!). A354507

Number of primitive (period n) step cyclic shifted sequences using a maximum of three different symbols. A56420

Number of (w,x,y,z) with all terms in {0,...,n} and w=max{w,x,y,z}-2·min{w,x,y,z}. A212745

Numbers k such that the total number of digits d in the numbers from 1 to k is even for each d from 0 to 9. A380642

Triangle T(n,k): the number of binary sequences of n zeros and n ones in which the shortest run is of length k. A227924

Number of length n+7 0..2 arrays with at most one downstep in every 7 consecutive neighbor pairs. A255106