Properties of the Number 51842

Fifty-One Thousand Eight Hundred Forty-Two

Basics

Value: 51841 → 51842 → 51843

Parity: even

Prime: No

Previous Prime: 51839

Next Prime: 51853

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 7 ² × 23 ²

Divisors: 1, 2, 7, 14, 23, 46, 49, 98, 161, 322

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101010000010

Octal: 145202

Duodecimal: 26002

Hexadecimal: ca82

Square: 2687592964

Square Root: 227.6883835420683

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 x*(1+3·x+2·x²)/((1+x+x²)*(1-x-x²)). A100886

Half the number of n X 2 binary arrays with every element equal to exactly one or two of its horizontal and vertical neighbors. A185828

A modified Engel expansion of the golden ratio (1/2)*(1 + sqrt(5)) (A001622). A220398

G.f. A(x) satisfies: 1 = ∑_n>=0 ( 1/(1-x)^2·n - A(x) )ⁿ. A326262

a(n+3) = 3·a(n+2) + 5·a(n+1) + a(n), a(0) = 1, a(1) = 10, a(2) = 37. A110528

Expansion of (1-x)*(2·x²+2·x+1) / ((x²-x-1)*(x²+x+1)). A111734

Number of perfect matchings in the P₅ X C_2n graph. A253150

a(0) = 1, a(n) = 40·n² + 2 for n>0. A10022

Number of perfect matchings in graph C₈ X P_n. A28479

a(n)=n³-(n-1)³-(n-2)³-...-1. A179298