Properties of the Number 62166

Sixty-Two Thousand One Hundred Sixty-Six

Basics

Value: 62165 → 62166 → 62167

Parity: even

Prime: No

Previous Prime: 62143

Next Prime: 62171

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 13 × 797

Divisors: 1, 2, 3, 6, 13, 26, 39, 78, 797, 1594

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111001011010110

Octal: 171326

Duodecimal: 2BB86

Hexadecimal: f2d6

Square: 3864611556

Square Root: 249.3311051593844

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 0..15 integer arrays v[1..n] of length n with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..n-1. A171321

Number of 0..n-1 integer arrays v[1..4] of length 4 with all autocorrelation values sum(i){v[i]*v[i-k]} distinct for k in 0..3. A171355

Number of ways of placing n nonattacking torus queens on 2n+1 X 2n+1 board, similar solutions count only once. A62166

Number of length n+3 0..7 arrays with no four elements in a row with pattern aabb (with a≠b) and new values 0..7 introduced in 0..7 order. A242583

a(n) = floor( ∑_k>=0 n^k*φ / γ(k*φ + 1) ), where γ(x) is Euler's γ function and φ = (sqrt(5) + 1)/2 is the golden ratio. A326804