Properties of the Number 53013

Fifty-Three Thousand Thirteen

Basics

Value: 53012 → 53013 → 53014

Parity: odd

Prime: No

Previous Prime: 53003

Next Prime: 53017

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 41 × 431

Divisors: 1, 3, 41, 123, 431, 1293, 17671, 53013

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100111100010101

Octal: 147425

Duodecimal: 26819

Hexadecimal: cf15

Square: 2810378169

Square Root: 230.24552112907648

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/(1 - x/(1+2·x - x³/(1+2·x² - x⁵/(1+2·x³ - x⁷/(1+2·x⁴ - x⁹/(1 - ...)))))), a continued fraction. A275761

Expansion of 1/(1-x⁴-x⁵-x⁶-x⁷-x⁸-x⁹-x¹⁰-x¹¹). A17833

Numbers n such that (i) the largest prime factor of n is not a palindrome and (ii) the sum of the factorials of the digits of n is equal to the largest prime factor of n reversed. A74301

Let f(k) denote the largest prime factor of k which is not a palindrome. Sequence gives numbers k such that the sum of the factorials of the digits of k is equal to f(k) reversed. A111185

Number of n X 4 nonnegative integer arrays with upper left 0 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down. A252832

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 229", based on the 5-celled von Neumann neighborhood. A270948

Diagonal of the rational function 1/(1 - x - y - x y - x z - y z + x y z). A274667

Positions in decimal expansion of π where next prime begins. A53013

Number of arrays of n integers in -5..5 with sum zero. A201549