Properties of the Number 61065

Sixty-One Thousand Sixty-Five

Basics

Value: 61064 → 61065 → 61066

Parity: odd

Prime: No

Previous Prime: 61057

Next Prime: 61091

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 23 × 59

Divisors: 1, 3, 5, 9, 15, 23, 45, 59, 69, 115

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110111010001001

Octal: 167211

Duodecimal: 2B409

Hexadecimal: ee89

Square: 3728934225

Square Root: 247.11333432253306

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) = A273059(4n+1). A275917

G.f.: G'(x) / G(x) where G(x) = 1 / sqrt( AGM((1 - 3·x)², (1 + x)²) ) is the g.f. of A245931. A245932

Numbers k such that 3k - 1 divides 3^k - 1. A273614

a(n) = ∑_{1 <= x₁, x₂ <= n} gcd(x₁, x₂, n)⁵. A372927

a(n) = binomial(n²,n) mod n⁵. A371471

For n <= 6, entry of maximal modulus in the inverse of the n-th Hilbert matrix. For n >= 3, this is the (n-1,n-1)-th entry. A61065

G.f.: 1 / sqrt( AGM((1 - 3·x)², (1 + x)²) ). A245931