Properties of the Number 12936

Twelve Thousand Nine Hundred Thirty-Six

Basics

Value: 12935 → 12936 → 12937

Parity: even

Prime: No

Previous Prime: 12923

Next Prime: 12941

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 7 ² × 11

Divisors: 1, 2, 3, 4, 6, 7, 8, 11, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001010001000

Octal: 31210

Duodecimal: 75A0

Hexadecimal: 3288

Square: 167340096

Square Root: 113.73653766490345

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

a(n) = (1/3)*(n² + 2·n + 3)*(n+1)². A14820

Triangle read by rows: T(n, k) = [z^k] P(n, z) where P(n, z) = ∑_k=0..n binomial(n, k) * Pochhammer(n - k + c, k) * z^k / k! and c = 4. A62145

Even octagonal numbers: a(n) = 4·n*(3·n-1). A14642

Numbers k such that σ(x) = k has exactly 10 solutions. A60666

Neither the unsorted prime signature of a(n) nor the negated unsorted prime signature of a(n) is unimodal. A332643

Number of integer partitions of n with integer median of 0-appended first differences. A360688

a(n) = 7·n² + 14·n. A67727

G.f.: ∑_n=-oo..+oo n·xⁿ * (1 - xⁿ)ⁿ. A291937

Dimensions of the irreducible representations of the simple Lie algebra of type D4 over the complex numbers, listed in increasing order. A121739

Table of coefficients of a polynomial sequence of binomial type related to A080635. A185415