Properties of the Number 8508

Eight Thousand Five Hundred Eight

Basics

Value: 8507 → 8508 → 8509

Parity: even

Prime: No

Previous Prime: 8501

Next Prime: 8513

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 709

Divisors: 1, 2, 3, 4, 6, 12, 709, 1418, 2127, 2836

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100111100

Octal: 20474

Duodecimal: 4B10

Hexadecimal: 213c

Square: 72386064

Square Root: 92.23882046080165

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

T(n,k) = Number of (n+2) X (k+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 1 2 4 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 1 2 4 6 or 7. A252558

Numbers k such that k^k + k - 1 is prime. A58912

Total number of left-to-right maxima in all compositions of n. A336482

Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(3)). A52477

Number of one-sided polydrafters with n cells. A217720

Number of length n+2 0..1 arrays with at most one downstep in every n consecutive neighbor pairs. A255993

G.f. A(x) satisfies: A(x) = ∑_n>=0 (n+1) * xⁿ / (1 - xⁿ⁺¹*A(x))³. A340358

Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059. A63058

Low-temperature partition function expansion for square lattice (Potts model, q=4). A57381

Expansion of ((η(q)η(q¹⁵))/(η(q³)η(q⁵)))³ in powers of q. A95123