Properties of the Number 12684

Twelve Thousand Six Hundred Eighty-Four

Basics

Value: 12683 → 12684 → 12685

Parity: even

Prime: No

Previous Prime: 12671

Next Prime: 12689

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 × 151

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000110001100

Octal: 30614

Duodecimal: 7410

Hexadecimal: 318c

Square: 160883856

Square Root: 112.6232658024087

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

Expansion of ∏_k>=1 (1 + 3·x^k). A32308

Number of Dyck paths of semilength n such that every peak at level y > 1 is preceded by (at least) one peak at level y-1 and is followed by (at least) one peak at level y-1. A287776

Triangle of Salie numbers T(n,k) for negative n,k, n < k. A98435

The number of irreducible zero-sum subsets of {-n..n} that contain -n but not n. A390082

Number of (w,x,y,z) with all terms in {1,...,n} and w+x=|x-y|+|y-z|. A212676

Index where n first appears in A381658. A381659

G.f. satisfies: A(x) = x + A(A(x))² - A(A(x))⁴. A171992

Integral area of primitive integer-sided triangles whose sides a < b < c are in arithmetic progression. A351178

Convolution of A000009 and A000290. A360487

Powers of fifth root of 3 rounded to nearest integer. A18121