Properties of the Number 57009

Fifty-Seven Thousand Nine

Basics

Value: 57008 → 57009 → 57010

Parity: odd

Prime: No

Previous Prime: 56999

Next Prime: 57037

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 31 × 613

Divisors: 1, 3, 31, 93, 613, 1839, 19003, 57009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101111010110001

Octal: 157261

Duodecimal: 28BA9

Hexadecimal: deb1

Square: 3250026081

Square Root: 238.7655754081815

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(n) = 1 - 2·n² + 4·n*(1 + 2·n²)/3. A168547

Number of permutations i₀, i₁, ..., i_n of 0, 1, ..., n with i₀ = 0 and i_n = n such that the n+1 numbers i₀²+i₁, i₁²+i₂, ..., i_n-1²+i_n, i_n²+i₀ are all relatively prime to both n-1 and n+1. A229130

Numerators of continued fraction convergents to sqrt(95). A41170

Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=2, k=1 and l=-1. A176828

Number of conjugacy classes of subgroups of index 3 in free group of rank n. A57009