Properties of the Number 57293

Fifty-Seven Thousand Two Hundred Ninety-Three

Basics

Value: 57292 → 57293 → 57294

Parity: odd

Prime: No

Previous Prime: 57287

Next Prime: 57301

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 23 × 47 × 53

Divisors: 1, 23, 47, 53, 1081, 1219, 2491, 57293

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111111001101

Octal: 157715

Duodecimal: 291A5

Hexadecimal: dfcd

Square: 3282487849

Square Root: 239.35956216537497

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

Numbers k such that k² is palindromic in base 13. A29998

The number of permutations of {1,2,...,n,1,2,...,n} with the property that b(1) >= b(2) >= ... >= b(n) (there are b(k) numbers between the two k's for k=1..n). A322178

Square array T(n,k), n >= 0, k >= 2, read by antidiagonals, where T(n,k) is the number of permutations of {k 1's, k 2's, ..., k n's} with the property that j's are equally spaced for j=1..n and the interval of j+1 is less than or equal to the interval of j for j=1..n-1. A332762

Numbers n such that the smallest possible number of multiplications required to compute xⁿ is by 2 less than the number of multiplications obtained by Knuth's power tree method. A115614

Partitions into non-integral powers (see Comments for precise definition). A234

Number of (w,x,y,z) with all terms in {1,...,n} and w·x<=2·y*z. A211787

Number of 13X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 13 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192714

Number of nX2 1..5 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in nondecreasing order. A166798

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 613", based on the 5-celled von Neumann neighborhood. A273242

Numbers k such that k | 12^k + 11^k + 1. A57293