Properties of the Number 57307

Fifty-Seven Thousand Three Hundred Seven

Basics

Value: 57306 → 57307 → 57308

Parity: odd

Prime: No

Previous Prime: 57301

Next Prime: 57329

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 17 × 3371

Divisors: 1, 17, 3371, 57307

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111111011011

Octal: 157733

Duodecimal: 291B7

Hexadecimal: dfdb

Square: 3284092249

Square Root: 239.3888050849496

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

Number of partitions of n having no parts with multiplicity 4. A184639

a(n) = ∑_k=0..n binomial(3·k,n-k) * Catalan(k). A360076

Row sums of irregular triangle A292224. a(n) gives the total number of admissible tuples starting with 0 in the interval [0, 1, ..., n-1]. A292225

The maximal exponent in the prime factorization of the numbers whose maximal exponent in their prime factorization is a power of 2. A374327

The base-2 logarithm of the maximal exponent in the prime factorization of the numbers whose maximal exponent in their prime factorization is a power of 2. A374328

Coordination sequence T4 for Zeolite Code MTF. A57307