Properties of the Number 53613

Fifty-Three Thousand Six Hundred Thirteen

Basics

Value: 53612 → 53613 → 53614

Parity: odd

Prime: No

Previous Prime: 53611

Next Prime: 53617

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 23 × 37

Divisors: 1, 3, 7, 9, 21, 23, 37, 63, 69, 111

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000101101101

Octal: 150555

Duodecimal: 27039

Hexadecimal: d16d

Square: 2874353769

Square Root: 231.54481207748967

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-2) - n·a(floor(n/2)), where a(0) = 1, a(1) = 1, a(2) = 1. A298400

Numbers k such that A224787(k) - k is a square. A385238

a(1)=1. a(n) = a(n-1) + (sum of the earlier terms {among terms a(1) through a(n-1)} which are coprime to n). A127075

a(n) = floor(sqrt(π(2ⁿ))). A133498

Floor of the value of Riemann's ξ function at n. A236212

Exceptional primes: there does not exist a consecutive triple of integers such that a(n) (prime) such that each number in the triple is a cubic residue of a(n). A53613