Properties of the Number 12836

Twelve Thousand Eight Hundred Thirty-Six

Basics

Value: 12835 → 12836 → 12837

Parity: even

Prime: No

Previous Prime: 12829

Next Prime: 12841

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 3209

Divisors: 1, 2, 4, 3209, 6418, 12836

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000100100

Octal: 31044

Duodecimal: 7518

Hexadecimal: 3224

Square: 164762896

Square Root: 113.29607230614837

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 integer partitions of n whose LCM is less than n. A327781

G.f. A(x) satisfies: x²*A(x) = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x)ⁿ. A355364

Numbers whose binary representation traces a non-selfcrossing circuit in the honeycomb lattice when each one of its bits, from the most significant to the least significant, is interpreted as a direction to proceed at each vertex. A255561

a(n) = Pell(n+2) - 2ⁿ. A94723

Number of regions in a polygon whose boundary consists of n+2 equally spaced points around the arc of a semicircle. See Comments for precise definition. A333643

Least k such that the distance from k² to closest prime = n or zero if no k exists. A79666

Numbers k whose decimal expansion can be split into at least two parts whose binary equivalents can be concatenated (in the same order) to form the binary expansion of the original number k. A237041

Smallest number k > 0 such that σ(x) and σ(x)+2 are both prime, where x = (6k+1)⁶ⁿ⁺⁴, or -1 if no such k exists. A275237

Number of 4-regular maps on the Klein bottle with n vertices and 2n edges. A323276

Number of ternary words of length n (beginning 0) with autocorrelation function 2^n-1+2. A45696