Properties of the Number 68163

Sixty-Eight Thousand One Hundred Sixty-Three

Basics

Value: 68162 → 68163 → 68164

Parity: odd

Prime: No

Previous Prime: 68161

Next Prime: 68171

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 22721

Divisors: 1, 3, 22721, 68163

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000101001000011

Octal: 205103

Duodecimal: 33543

Hexadecimal: 10a43

Square: 4646194569

Square Root: 261.0804473720696

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 (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 5 6 or 7. A252514

Column 2 of triangle A128545; a(n) is the coefficient of q²ⁿ⁺⁴ in the central q-binomial coefficient [2n+4,n+2]. A128552

The Wiener index of the nanostar dendrimer NS[n], defined pictorially in the Wang-Hua reference. A221004

Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 5 6 or 7. A252510

Number of (n+2)X(n+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 2 5 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 2 5 6 or 7. A252506

Number of 5X5X5 triangular 0..n arrays with every horizontal row having the same average value. A214598

Smallest prime beginning and ending in at least n 9's. A68163