Properties of the Number 12687

Twelve Thousand Six Hundred Eighty-Seven

Basics

Value: 12686 → 12687 → 12688

Parity: odd

Prime: No

Previous Prime: 12671

Next Prime: 12689

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 4229

Divisors: 1, 3, 4229, 12687

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 11000110001111

Octal: 30617

Duodecimal: 7413

Hexadecimal: 318f

Square: 160959969

Square Root: 112.63658375501274

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

Least k such that the k-th maximal antirun of prime numbers > 3 has length n. Position of first appearance of n in A027833. The sequence ends if no such antirun exists. A373401

Number of partitions of n into 6 distinct and relatively prime parts. A341870

Number of dissimilar ternary squarefree words of length n+1. A60688

G.f.: A(x) = 1/(1 - x·B(x³)), where B(x) = ∑_n>=0 a(n)³*xⁿ is the g.f. of A121652. A121653

A trisection of A121653; a(n) = A121653(3·n+1) = A121652(3·n+1)^1/3. A121655

At stage 1, start with a unit equilateral triangle. At each successive stage add 3*(n-1) new triangles around outside with vertex-to-vertex contacts. Sequence gives number of triangles at n-th stage. A269064

Numbers k such that σ(k) plus the k-th prime is a triangular number. A115907

Round(1000·x), where·is the solution to x = 3^n-x. A103537

Number of partitions of n with up to ten distinct kinds of 1. A320697

Expansion of e.g.f. 1/(1 - 2·arcsin(x))^1/2. A385376