Properties of the Number 72107

Seventy-Two Thousand One Hundred Seven

Basics

Value: 72106 → 72107 → 72108

Parity: odd

Prime: No

Previous Prime: 72103

Next Prime: 72109

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 10301

Divisors: 1, 7, 10301, 72107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10001100110101011

Octal: 214653

Duodecimal: 3588B

Hexadecimal: 119ab

Square: 5199419449

Square Root: 268.52746600673834

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

Number of nX3 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4. A197275

T(n,k)=Number of nXk 0..4 arrays with each element·equal to the number of its horizontal and vertical neighbors equal to 2,0,1,1,1 for x=0,1,2,3,4. A197280

a(n) = ∑_k=1..n A014963(k). A72107

A vector recursion sequence: k = 1; m = 2; l = 1; a(n)=k*{0,a(n-2),0}+m*{-(m-1)/m,a(n-1)}++m*{a(n-1),-(m-1)/m}+l*{0,0,a(n-4),0,0}. A152654