Properties of the Number 67686

Sixty-Seven Thousand Six Hundred Eighty-Six

Basics

Value: 67685 → 67686 → 67687

Parity: even

Prime: No

Previous Prime: 67679

Next Prime: 67699

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 29 × 389

Divisors: 1, 2, 3, 6, 29, 58, 87, 174, 389, 778

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000100001100110

Octal: 204146

Duodecimal: 33206

Hexadecimal: 10866

Square: 4581394596

Square Root: 260.16533204868017

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 7X2 integer matrices with each row summing to zero, row elements in nondecreasing order, rows in lexicographically nondecreasing order, and the sum of squares of the elements <= 2·n² (number of collections of 7 zero-sum 2-vectors with total modulus squared not more than 2·n², ignoring vector and component permutations). A192707

a(n) = a(n-1) * a(n-1) - B·a(n-1) + B, a(0) = 1 + B for B = 7. A67686