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Properties of the Number 12666

Twelve Thousand Six Hundred Sixty-Six

Basics

Value: 12665 → 12666 → 12667

Parity: even

Prime: No

Previous Prime: 12659

Next Prime: 12671

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 2111

Divisors: 1, 2, 3, 6, 2111, 4222, 6333, 12666

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000101111010

Octal: 30572

Duodecimal: 73B6

Hexadecimal: 317a

Square: 160427556

Square Root: 112.5433249908674

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

Beastly (or hateful) numbers: numbers containing the string 666 in their decimal expansion. A51003
a(n) = ∑k=1..n antisigma(k), where antisigma(i) = sum of the nondivisors of i that are between 1 and i. A76664
Numbers m such that 18·m + 1, 36·m + 1, 108·m + 1, and 162·m + 1 are all primes. A372188
Least integer N > 2 such that the number of primes (<=N) <= the number of base-n-zero containing numbers (<=N). A306521
Triangle of coefficients of polynomials u(n,x) jointly generated with A209140; see the Formula section. A209139
E.g.f. equals the limit of the average of all permutations of the compositions of the functions x·exp(xk), for k=1..n, as n increases. A278332
Array read by antidiagonals: Place k points in general position on each side of a regular n-gon and join every pair of the k·n boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives the number of vertices in the resulting planar graph. A392261
Numbers n with digits in nondecreasing order such that sum of the reciprocal of digits is an integer. A91784
Positive integers that have exactly nine representations of the form 1 + p1 * (1 + p2* ... * (1 + pj)...), where [p1, ..., pj] is a (possibly empty) list of distinct primes. A317399
Poincaré series [or Poincare series] for depths of roots in a certain root system. A19527