Properties of the Number 57799

Fifty-Seven Thousand Seven Hundred Ninety-Nine

Basics

Value: 57798 → 57799 → 57800

Parity: odd

Prime: No

Previous Prime: 57793

Next Prime: 57803

Digit Sum: 37

Digital Root: 1

Palindrome: No

Factorization: 7 × 23 × 359

Divisors: 1, 7, 23, 161, 359, 2513, 8257, 57799

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110000111000111

Octal: 160707

Duodecimal: 29547

Hexadecimal: e1c7

Square: 3340724401

Square Root: 240.4142258686037

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

Carlitz-Riordan q-Catalan numbers (recurrence version) for q=6. A15089

Square array A(n,k), n>=0, k>=0, read by antidiagonals, where column k is the expansion of continued fraction 1/(1 - x/(1 - k·x/(1 - k²*x/(1 - k³*x/(1 - k⁴*x/(1 - ...)))))). A290759

Triangle T(n,k), 0 <= k <= n, composed of k-Catalan numbers. A90182

a(n) = n*(2·n⁸ + 84·n⁶ + 798·n⁴ + 1636·n² + 315)/2835. A99196

a(n) is smallest natural number a satisfying Pell equation a² - d(n)*b²= +1 or = -1, with d(n)=A000037(n) (a nonsquare). Corresponding smallest b(n)=A077233(n). A77232

a(n) = n³ - n² + 1. A100104

a(n) is the smallest k such that (k³ + 1)/(n³ + 1) is an integer > 1. A65964

Numerators of continued fraction convergents to sqrt(19). A41028

x-values in the solution to x² - 19·y² = 1. A114048

Numerators of continued fraction convergents to sqrt(684). A42314