Properties of the Number 13247

Thirteen Thousand Two Hundred Forty-Seven

Basics

Value: 13246 → 13247 → 13248

Parity: odd

Prime: No

Previous Prime: 13241

Next Prime: 13249

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 13 × 1019

Divisors: 1, 13, 1019, 13247

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001110111111

Octal: 31677

Duodecimal: 77BB

Hexadecimal: 33bf

Square: 175483009

Square Root: 115.09561242723373

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) = numerator(Jtilde3(n)). A264541

Largest integer not expressible as a nonnegative linear combination of n and n² + 1. A87908

Sum over all partitions of n of the bitwise OR of the parts. A306902

Number of distinct grids after n moves in the 5T version of Morpion Solitaire. A204108

a(n) = 576·n - 1. A158372

Triangular array, read by rows: T(n,k) = numerator of Jtilde_k(n), 1 <= k <= 2·n+2. A326303

Integer part of log(n!)^log(n). A62421

Nearest integer to log(n!)^log(n). A62422

G.f. is the continued fraction: A(x) = 1/[1 - x/[1 - (x-x²)/[1 - (x²-x⁴)/[1 - (x³-x⁶)/[1-... - (xⁿ-x²ⁿ)/[1 - ... ]]]]]]]. A99823

Numbers n such that 15·prime(n)+{-4,-2,2,4} are all primes. A176002