Properties of the Number 68068

Sixty-Eight Thousand Sixty-Eight

Basics

Value: 68067 → 68068 → 68069

Parity: even

Prime: No

Previous Prime: 68059

Next Prime: 68071

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 7 × 11 × 13 × 17

Divisors: 1, 2, 4, 7, 11, 13, 14, 17, 22, 26

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100111100100

Octal: 204744

Duodecimal: 33484

Hexadecimal: 109e4

Square: 4633252624

Square Root: 260.89844767648583

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

a(n) = binomial(2n-3,n-1) + binomial(2n-2,n-2). A97613

a(n) = binomial(n+7, 7)*(n+4)/4. A53347

a(n) = number of (s(0), s(1), ..., s(n)) such that s(i) is a nonnegative integer and |s(i) - s(i-1)| = 1 for i = 1,2,...,n and s(0) = 2. Also a(n) = sum of numbers in row n+1 of array T defined in A026009. A26010

a(n) = (1/2)*(binomial(2n, n) - binomial(2n-2, n-1)). A24482

a(n) = n*(n+1)*(11·n+1)/6. A132112

A triangle related to the a(n) formulas of the rows of the ED1 array A167546. A167552

Expansion of g.f.: (1+4·x)/(1-x)⁷. A51946

Square array read by antidiagonals: S(p,q) = (p+q+1)!(2p+2q+1)!/((p+1)!(2p+1)!(q+1)!(2q+1)!) (p,q>=0). A111910

Number of inequivalent (mod D₃) ways to place 3 points on a triangular grid of side n so that they are not vertices of an equilateral triangle of any orientation. A243142

Expansion of 1 / ((1 - x)⁷*(1 + x)⁴). A299336