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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

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 | 12k + 11k + 1. A57293