Properties of the Number 72751

Seventy-Two Thousand Seven Hundred Fifty-One

Basics

Value: 72750 → 72751 → 72752

Parity: odd

Prime: No

Previous Prime: 72739

Next Prime: 72763

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 × 19 × 547

Divisors: 1, 7, 19, 133, 547, 3829, 10393, 72751

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10001110000101111

Octal: 216057

Duodecimal: 36127

Hexadecimal: 11c2f

Square: 5292708001

Square Root: 269.72393293884767

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 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299602

Array read by antidiagonals: T(m,n) = number of placements of zero or more dominoes on the m X n grid where no two empty squares are horizontally adjacent. A332862

a(1)=1, a(n) is the smallest integer > a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(1)+1/a(2)+...+1/a(n) equals n³. A70903

Number of nX4 0..1 arrays with every element equal to 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299598

Number of n X 7 0..1 arrays with every element equal to 2, 3, 4, 5, 7 or 8 king-move adjacent elements, with upper left element zero. A299601

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 0), (-1, 0, 1), (0, 1, -1), (1, 0, 0)}. A148561

Greatest of the most frequent prime factors of squarefree numbers <= n; a(1)=1. A72751