Properties of the Number 53331

Fifty-Three Thousand Three Hundred Thirty-One

Basics

Value: 53330 → 53331 → 53332

Parity: odd

Prime: No

Previous Prime: 53327

Next Prime: 53353

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 29 × 613

Divisors: 1, 3, 29, 87, 613, 1839, 17777, 53331

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101000001010011

Octal: 150123

Duodecimal: 26A43

Hexadecimal: d053

Square: 2844195561

Square Root: 230.93505580573947

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) is the smallest number k such that kⁿ has the same digits as some other n-th power without leading zeros. A133208

Number of separable integer partitions of n without an alternating permutation. A345166

First differences of A031938. A53331

Number of integer partitions of n that are not constant but satisfy (mean) = (median) = (mode), assuming there is a unique mode. A363728

Number of non-constant integer partitions of n whose length and maximum both divide n. A326852

Number of odd-length integer partitions of n satisfying (mean) = (median) = (mode), assuming there is a unique mode. A363721

Number of non-constant integer partitions of n having a unique mode equal to the mean. A362562