Properties of the Number 12764

Twelve Thousand Seven Hundred Sixty-Four

Basics

Value: 12763 → 12764 → 12765

Parity: even

Prime: No

Previous Prime: 12763

Next Prime: 12781

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 3191

Divisors: 1, 2, 4, 3191, 6382, 12764

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111011100

Octal: 30734

Duodecimal: 7478

Hexadecimal: 31dc

Square: 162919696

Square Root: 112.9778739399888

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 rooted planar binary unlabeled trees with n leaves and caterpillar index <= 5. A214203

Expansion of 1 / ((1-x)²*(1-x²)*(1-x³)*...*(1-x⁸)). A288343

Number of partitions of floor(5n/2) into n nonnegative integers each no more than 5. A1975

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of M (as in A204026), given by min(F(i+1),F(j+1)), where F=A000045 (Fibonacci numbers). A204027

Those positive integers n where, when written in binary, there are exactly k number of runs (of either 0's or 1's) each of exactly k length, for all k where 1<=k<=m, for some positive integer m. A175356

Expansion of ∏_n>=1 ((1 - (n·x)ⁿ)/(1 + (n·x)ⁿ))^1/n. A303343

Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x. A47826

Number of (n+3) X 5 0..2 matrices with each 4 X 4 subblock idempotent. A224722

a(n) is the smallest integer k such that the average deviation of previous terms and k is an integer, where a(n) > a(n - 1) and a(1) = 1. A370488

Number of nX3 1..2 arrays containing at least one of each value, all equal values connected, and rows considered as a single number in nondecreasing order. A166781