Properties of the Number 72713

Seventy-Two Thousand Seven Hundred Thirteen

Basics

Value: 72712 → 72713 → 72714

Parity: odd

Prime: No

Previous Prime: 72707

Next Prime: 72719

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 19 × 43 × 89

Divisors: 1, 19, 43, 89, 817, 1691, 3827, 72713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001110000001001

Octal: 216011

Duodecimal: 360B5

Hexadecimal: 11c09

Square: 5287180369

Square Root: 269.65348134225894

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

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A304551

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316376

Numbers n such that there is k < n for which A003557(k) = A003557(n), A048250(k) = A048250(n) and A173557(k) = A173557(n). A296087

Number of nX4 0..1 arrays with every element unequal to 0, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A304547

Number of n X 7 0..1 arrays with every element unequal to 0, 2, 3, 4 or 6 king-move adjacent elements, with upper left element zero. A304550

Number of nX7 0..1 arrays with every element unequal to 0, 2, 3, 4, 6 or 8 king-move adjacent elements, with upper left element zero. A316375

(-1)ⁿ * coefficient of xⁿ in 1/x-1/(1-η(x)) power series. A82531

a(1)=a(2)=a(3)=a(4)=a(5)=1; for n>5, a(n)*a(n-5) = a(n-1)*a(n-2)*a(n-3)*a(n-4)+1. A72713