Properties of the Number 60705

Sixty Thousand Seven Hundred Five

Basics

Value: 60704 → 60705 → 60706

Parity: odd

Prime: No

Previous Prime: 60703

Next Prime: 60719

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 19 × 71

Divisors: 1, 3, 5, 9, 15, 19, 45, 57, 71, 95

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110110100100001

Octal: 166441

Duodecimal: 2B169

Hexadecimal: ed21

Square: 3685097025

Square Root: 246.383846873126

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 - x) / (1 - 16·x + x²). A157456

G.f.: 1/(1-2x-15x²)^1/2; also, a(n) is the central coefficient of (1+x+4x²)ⁿ. A84605

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than four of its king-move neighbors. A282316

Denominators of the rational convergents to the periodic continued fraction 1/(2 + 1/(7 + 1/(2 + 1/(7 + ...)))). A243469

Denominators of continued fraction convergents to sqrt(63). A41111

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of 1/sqrt(1 - 2·x + (1-4·k²)*x²). A307847

a(n) = n⁴ + 3·n³ - 3·n. A192398

Numerators of the rational convergents to the periodic continued fraction 1/(2 + 1/(7 + 1/(2 + 1/(7 + ...)))). A243470

Numbers m such that both m²-1 and m² are refactorable numbers (A033950) and that m² has more divisors than m²-1. A342970

Number of n X 2 0..1 arrays with no 1 equal to more than four of its king-move neighbors. A282310