Properties of the Number 57823

Fifty-Seven Thousand Eight Hundred Twenty-Three

Basics

Value: 57822 → 57823 → 57824

Parity: odd

Prime: No

Previous Prime: 57809

Next Prime: 57829

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 53 × 1091

Divisors: 1, 53, 1091, 57823

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000111011111

Octal: 160737

Duodecimal: 29567

Hexadecimal: e1df

Square: 3343499329

Square Root: 240.4641345398519

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

a(n) = smallest number with the property that the split-and-multiply technique (see A361338) in base n can produce all n single-digit numbers. A361340

Number of -1..1 arrays x(0..n-1) of n elements with zero sum and no two consecutive declines, no adjacent equal elements, and no element more than one greater than the previous (random base sawtooth pattern). A200174

Numbers whose arithmetic derivative is equal to their BCR, where BCR = A036044, binary-complement-and-reverse = take one's complement then reverse bit order. A269633

Decimal expansion of q = 0.193072033..., which is the value of q which gives the maximum of the Dedekind η function η(q) := q^1/12 * ∏_n>=1 (1 - q²ⁿ) for q between 0 and 1. A57823