Properties of the Number 13508

Thirteen Thousand Five Hundred Eight

Basics

Value: 13507 → 13508 → 13509

Parity: even

Prime: No

Previous Prime: 13499

Next Prime: 13513

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 11 × 307

Divisors: 1, 2, 4, 11, 22, 44, 307, 614, 1228, 3377

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010011000100

Octal: 32304

Duodecimal: 7998

Hexadecimal: 34c4

Square: 182466064

Square Root: 116.22392180614109

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 that are the sum of eight fourth powers in seven or more ways. A345582

Numbers that are the sum of eight fourth powers in exactly seven ways. A345839

Numbers n such that Fibonacci(n) is not squarefree, but for all proper divisors k of n, Fibonacci(k) is squarefree. A65069

Ceiling of γ(n+1/5)/γ(1/5). A20130

G.f. satisfies: A(x) = 1 + x·A(x) * A(x·A(x)) + x²*A(x)² * A'(x·A(x)). A132070

Number of unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 7. A244461

a(1) = 2; a(n) = a(n-1)-th even nontotient number. A72415

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-2) + 2n, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293350

Gaston Tarry's 1905 trimagic square of order 128, read by rows. A381002

Expansion of (1-x)^-1/(1-2·x-2·x²-x³). A77845