Properties of the Number 12817

Twelve Thousand Eight Hundred Seventeen

Basics

Value: 12816 → 12817 → 12818

Parity: odd

Prime: No

Previous Prime: 12809

Next Prime: 12821

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 × 1831

Divisors: 1, 7, 1831, 12817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001000010001

Octal: 31021

Duodecimal: 7501

Hexadecimal: 3211

Square: 164275489

Square Root: 113.21219015636082

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

a(n) = a(n-1) + a(n-3) + a(n-4) for n > 3, a(0) = -1, a(1) = 1, a(2) = 2, a(3) = 1. A111569

Irregular table read by rows, T(n, k) is the rank of the k-th Seidel permutation of {1,...,n}, permutations sorted in lexicographical order. A347600

n plus a googol is prime. A49014

a(n) = 288·n² - 168·n - 119. A118059

a(n) = F(n)*F(n+1) - (-1)ⁿ, where F = A000045. A260259

Expansion of x*(1-2·x-x²)/( (1-x)*(1+x)*(1-3·x+x²)). A107387

Expansion of 1/(1-x⁴-x⁵-x⁶-x⁷-x⁸-x⁹). A17831

Becomes prime after exactly 7 iterations of f(x) = sum of prime factors of x. A47826

a(n) = 3n³ + 2n² + n + 1. A130884

Numbers n such that n² - 1 is the product of four distinct Fibonacci numbers greater than 1. A242074