Properties of the Number 12966

Twelve Thousand Nine Hundred Sixty-Six

Basics

Value: 12965 → 12966 → 12967

Parity: even

Prime: No

Previous Prime: 12959

Next Prime: 12967

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 2161

Divisors: 1, 2, 3, 6, 2161, 4322, 6483, 12966

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001010100110

Octal: 31246

Duodecimal: 7606

Hexadecimal: 32a6

Square: 168117156

Square Root: 113.86834503056589

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

Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected and a path of 1's from top row to lower right corner. A391489

Number of polyforms with n cells on the faces of a deltoidal icositetrahedron up to rotation and reflection. A383804

Number of partitions p of n such that (number of distinct parts of p) < max(p) - min(p). A239954

Number of partitions of the n-th n-gonal number into n-gonal numbers. A337762

Number of partitions p of n such that the number of distinct parts is a part or max(p) - min(p) is a part. A241391

a(n) = dot_product(1,2,...,n)*(7,8,...,n,1,2,3,4,5,6). A26049

Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,65. A65700

a(n) = ∑_{1 <= x₁ <= x₂ <= ... <= x_n = n} gcd(x₁, x₂, ... , x_n). A343553

Number of those nonnegative integer solutions of the congruence x₁+2x₂+...+(n-1)x_n-1 = 0 (mod n) which are indecomposable, that is, are not nonnegative linear combinations of other nonnegative integer solutions. A96337

Number of partitions of n into distinct parts with boundary size 6. A227563