Properties of the Number 57321

Fifty-Seven Thousand Three Hundred Twenty-One

Basics

Value: 57320 → 57321 → 57322

Parity: odd

Prime: No

Previous Prime: 57301

Next Prime: 57329

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 11 × 193

Divisors: 1, 3, 9, 11, 27, 33, 99, 193, 297, 579

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111111101001

Octal: 157751

Duodecimal: 29209

Hexadecimal: dfe9

Square: 3285697041

Square Root: 239.4180444327453

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 contains every digit at least once. A54038

Numbers n such that n² contains every decimal digit exactly once. A156977

Number of aperiodic bracelets (or necklaces) with n red and blue beads such that the beads switch colors when bracelet is turned over. A66315

Number of n X 2 nonnegative integer arrays with upper left 0 and every value within 2 of its city block distance from the upper left and every value increasing by 0 or 1 with every step right or down. A252814

Partial sums of A011863. A11888

a(n) = 12ⁿ - n¹⁰. A24150

Expansion of (1 + 44·x + 337·x² + 612·x³ + 305·x⁴ + 40·x⁵ + x⁶)/(1 - x)⁷. A160829

Number of (n+1) X (n+1) -4..4 symmetric matrices with every 2 X 2 subblock having sum zero and one or two distinct values. A211490

First component A of the pairs (A, B), listed in increasing order, such that the multiset of digits of A union the multiset of digits of B equals the multiset of digits of A² and the multiset of digits of B², for some B >= A. Note that terms may be repeated. A389379

Expansion of g.f. 1/((1-3·x)*(1-4·x)*(1-7·x)*(1-10·x)). A28040