Properties of the Number 53697

Fifty-Three Thousand Six Hundred Ninety-Seven

Basics

Value: 53696 → 53697 → 53698

Parity: odd

Prime: No

Previous Prime: 53693

Next Prime: 53699

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 2557

Divisors: 1, 3, 7, 21, 2557, 7671, 17899, 53697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1101000111000001

Octal: 150701

Duodecimal: 270A9

Hexadecimal: d1c1

Square: 2883367809

Square Root: 231.72613145694208

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

Magnetic Tower of Hanoi, number of moves of disk number k, optimally solving the [RED ; BLUE ; NEUTRAL] or [NEUTRAL ; RED ; BLUE] pre-colored puzzle. A183111

Expansion of e.g.f. (1/x) * Series_Reversion( x * (exp(-3·x) - x) ). A379662

a(n+1)=a(n)+aⁿ, where the addition is in base 11 and where aⁿ is obtained from a(n) by replacing each digit with its multiplicative inverse modulo 11. Zero digits, if any, are deleted. A53697

a(n) is the smallest number k for which the smallest part of the symmetric representation of σ of k, SRS(k), has size n. If no such number exists, a(n) = -1. A386608