Properties of the Number 12726

Twelve Thousand Seven Hundred Twenty-Six

Basics

Value: 12725 → 12726 → 12727

Parity: even

Prime: No

Previous Prime: 12721

Next Prime: 12739

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 101

Divisors: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110110110

Octal: 30666

Duodecimal: 7446

Hexadecimal: 31b6

Square: 161951076

Square Root: 112.80957406177899

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

Ruth-Aaron numbers (1): sum of prime divisors of n = sum of prime divisors of n+1. A6145

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=8. A135193

Number of inequivalent planar partitions of n, when considering them as 3D objects. A786

Numbers k such that iterating φ(σ(k)-φ(k)) starting from k leads to the fixed point 8064. A77096

Triangle where T(n,k) = n!/(n-k)!*[x^k] ( x/(2·x + log(1-x)) )ⁿ⁺¹, for n>=k>=0, read by rows. A118788

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 3 or 6. A252325

Irregular triangle read by rows: T(n,k) is the number of dominating subsets with cardinality k of the n X n rook graph (n >= 0, 0 <= k <= n²). A368831

a(n) is the total sum of semiperimeters over all (>=,>=)-polyominoes of length n. A382988

Signed array used for numerators of generating functions of the column sequences of array A090452. A91029

A triangular array made from polynomial coefficients of A049614. A118687