Properties of the Number 68013

Sixty-Eight Thousand Thirteen

Basics

Value: 68012 → 68013 → 68014

Parity: odd

Prime: No

Previous Prime: 67993

Next Prime: 68023

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 11 × 229

Divisors: 1, 3, 9, 11, 27, 33, 99, 229, 297, 687

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100110101101

Octal: 204655

Duodecimal: 33439

Hexadecimal: 109ad

Square: 4625768169

Square Root: 260.79302137902386

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

Numbers k such that φ(k) - k = φ(k') - k', where k' is the arithmetic derivative of k and φ(k) is the Euler totient function. A239940

Semiperimeter of primitive Pythagorean triangles having legs that add up to a square, sorted on hypotenuse. A89549

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, 1, 1), (0, 0, -1), (1, -1, 1), (1, 1, 0)}. A149387

Number of subsets of {1,2,3,...,n} that sum to 0 mod 7. A68013

Triangle t(n,m)= binomial(n+m-1,n-1) + binomial(2·n-m-1,n-1) -binomial(2·n-1,n-1) read by rows, 0<=m<=n. A174952