Properties of the Number 13688

Thirteen Thousand Six Hundred Eighty-Eight

Basics

Value: 13687 → 13688 → 13689

Parity: even

Prime: No

Previous Prime: 13687

Next Prime: 13691

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ³ × 29 × 59

Divisors: 1, 2, 4, 8, 29, 58, 59, 116, 118, 232

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010101111000

Octal: 32570

Duodecimal: 7B08

Hexadecimal: 3578

Square: 187361344

Square Root: 116.99572641767733

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

Numbers such that the two adjacent integers are a perfect square and a prime. A163492

a(n) = 9·n²-1. A136016

a(0)=3; a(n) = n² + a(n-1) for n>0. A153057

After a(0)=0, numbers n such that (A002828(1+n) = 1) and (A002828(4+n) = 4). A278491

Numbers k such that τ(k) - τ(k+1) = 1. A68208

Engel expansion of sinh(1/2). A68379

Triangle T(n,k), n>=1, 0 <= k <= A002620(n-1), read by rows, where T(n,k) is the number of self-avoiding paths of length 2*(n+k) along the edges of a grid with n X n square cells, which do not pass above the diagonal, start at the lower left corner and finish at the upper right corner. A340043

Numbers k such that k and k+1 are both terms of A365886. A365887

Expansion of (theta₃(z)*theta₃(11z) + theta₂(z)*theta₂(11z))⁴. A28612

a(n) = 4*(3·n+1)*(3·n+2). A144410