Properties of the Number 51859

Fifty-One Thousand Eight Hundred Fifty-Nine

Basics

Value: 51858 → 51859 → 51860

Parity: odd

Prime: Yes

Previous Prime: 51853

Next Prime: 51869

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 51859

Divisors: 1, 51859

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1100101010010011

Octal: 145223

Duodecimal: 26017

Hexadecimal: ca93

Square: 2689355881

Square Root: 227.72571220659296

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(0) = a(1) = 0; thereafter a(n) = 2·a(n-1)*a(n-2) + 1. A143684

Number of (n+2)X3 0..1 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..1 introduced in row major order. A204374

Primes p1 such that the sum of 9 consecutive primes, p1+p2+p3+p4+p5+p6+p7+p8+p9, and the three sums (p1+p2+p3), (p4+p5+p6), (p7+p8+p9) are all prime numbers. A343683

Values of C (the hypotenuse) of a Pythagorean triangle with A (the short leg) and C both prime and part of a twin prime. A51859

G.f. A(x) satisfies: A(x)³ = x·A( (A(x) + A(x)²)² ). A273030