Properties of the Number 57233

Fifty-Seven Thousand Two Hundred Thirty-Three

Basics

Value: 57232 → 57233 → 57234

Parity: odd

Prime: No

Previous Prime: 57223

Next Prime: 57241

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 ³ × 43

Divisors: 1, 11, 43, 121, 473, 1331, 5203, 57233

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111110010001

Octal: 157621

Duodecimal: 29155

Hexadecimal: df91

Square: 3275616289

Square Root: 239.234194880247

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

Expansion of e.g.f.: exp(x + 2·x²). A115329

Square array A(n,k), n >= 0, k >= 1, read by antidiagonals, where column k is the expansion of e.g.f. exp(∑_j=1..k j·x^j). A293718

Numbers n such that n | 12ⁿ + 11ⁿ + 10ⁿ + 9ⁿ + 8ⁿ + 7ⁿ + 6ⁿ + 5ⁿ + 4ⁿ + 3ⁿ + 2ⁿ. A57290

a(n) is the coefficient of xⁿ/n! in exp(x + n·x²/2). A277614

Array read by ascending antidiagonals. T(n, k) = n!*[xⁿ] exp(x + (k/2) * x²). A generalization of the number of involutions (or of 'telephone numbers'). A359762

Numbers k such that k | 8^k + 7^k + 6^k. A57233