Properties of the Number 72514

Seventy-Two Thousand Five Hundred Fourteen

Basics

Value: 72513 → 72514 → 72515

Parity: even

Prime: No

Previous Prime: 72503

Next Prime: 72533

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 13 × 2789

Divisors: 1, 2, 13, 26, 2789, 5578, 36257, 72514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001101101000010

Octal: 215502

Duodecimal: 35B6A

Hexadecimal: 11b42

Square: 5258280196

Square Root: 269.2842364491468

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 equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero. A301841

Expansion of (1/x) * Series_Reversion( x * (1 - x² / (1 - x)²)² ). A389693

Number of nX7 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero. A301840

Number of 3Xn 0..1 arrays with every element equal to 0, 1 or 2 horizontally or antidiagonally adjacent elements, with upper left element zero. A301843

a(n) = (7·n⁶ - 21·n⁵ + 55·n⁴ - 75·n³ + 70·n² - 36·n + 8)/8. A380502

Sum of n mod k for k in {1...n} with gcd(k,n) > 1. A72514