Properties of the Number 57399

Fifty-Seven Thousand Three Hundred Ninety-Nine

Basics

Value: 57398 → 57399 → 57400

Parity: odd

Prime: No

Previous Prime: 57397

Next Prime: 57413

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 ² × 53

Divisors: 1, 3, 19, 53, 57, 159, 361, 1007, 1083, 3021

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000000110111

Octal: 160067

Duodecimal: 29273

Hexadecimal: e037

Square: 3294645201

Square Root: 239.58088404545134

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

Number of vertices formed inside a right triangle by the straight line segments mutually connecting all vertices and points on the two shorter edges whose positions on one edge equal the Farey series of order n while on the other they divide its length into n equal segments. A359974

Numbers k such that all the following properties hold: (i) k·reverse(k) is a square; (ii) k ≠ reverse(k); (iii) k and reverse(k) are not both squares; and (iv) k and reverse(k) have the same number of digits. A82994

Numbers k which can be split into two numbers·and y such that x³ + y² is a multiple of k. A162451

Expansion of ∑_k>=1 prime(k)*x^prime(k)/(1 - x^prime(k)) * ∏_k>=1 1/(1 - x^prime(k)). A276560

a(n) = Sum(Sum p_i, {Sum p_i=prime(n)}, p_i is prime). A120484

Low-temperature susceptibility expansion for Kagome net (Potts model, q=3). A57399