Properties of the Number 42188

Forty-Two Thousand One Hundred Eighty-Eight

Basics

Value: 42187 → 42188 → 42189

Parity: even

Prime: No

Previous Prime: 42187

Next Prime: 42193

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 53 × 199

Divisors: 1, 2, 4, 53, 106, 199, 212, 398, 796, 10547

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1010010011001100

Octal: 122314

Duodecimal: 204B8

Hexadecimal: a4cc

Square: 1779827344

Square Root: 205.39717622206982

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(1) = 0, a(2) = 4, a(n) = a(n-1) + a(n-2) - 1. A187890

Sum of first n 8-almost primes. A86061

Number of collinear triples in a 4 X n rectangular grid. A334706

Number of n X 5 0..2 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or one plus the sum of the elements diagonally to its northwest, modulo 3. A239358

G.f. satisfies: A(x) = 1/(1 - x·A(x)³/(1 - x²*A(x)³/(1 - x³*A(x)³/(1 - x⁴*A(x)³/(1 - ...))))), a recursive continued fraction. A192730

a(n) = ∑_k=0..n ((2k+1)*C(n,k)*C(n+k,k))², where C(n,k) denotes the binomial coefficient n!/(k!*(n-k)!). A246461

Numerators of continued fraction convergents to sqrt(619). A42188