Properties of the Number 53006

Fifty-Three Thousand Six

Basics

Value: 53005 → 53006 → 53007

Parity: even

Prime: No

Previous Prime: 53003

Next Prime: 53017

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 × 17 × 1559

Divisors: 1, 2, 17, 34, 1559, 3118, 26503, 53006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111100001110

Octal: 147416

Duodecimal: 26812

Hexadecimal: cf0e

Square: 2809636036

Square Root: 230.23031946292392

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

G.f.: 1/G(0) where G(k) = 1 - q^k+1 / (1 - q^k+2/G(k+1) ). A227309

Number of length-rectangular twice-partitions of n. A306319

Index position of {3}ⁿ within the list of partitions of 3n in canonical ordering. A332720

Expansion of 1 - x/(1 - x/(1 - x²/(1 - x²/(1 - x³/(1 - x³/(1 - x⁴/(1 - x⁴/ ...))))))), a continued fraction. A291875

Numbers m for which there exist d(1),...,d(m), each in {0,1}, such that ∑_i=1..m-k d(i)*d(i+k) is odd for all k=0,...,m-1. A53006

Fifth convolution of A000129(n+1) (generalized (2,1)-Fibonacci, called Pell numbers), n>=0, with itself. A73382