Properties of the Number 68338

Sixty-Eight Thousand Three Hundred Thirty-Eight

Basics

Value: 68337 → 68338 → 68339

Parity: even

Prime: No

Previous Prime: 68329

Next Prime: 68351

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 × 47 × 727

Divisors: 1, 2, 47, 94, 727, 1454, 34169, 68338

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101011110010

Octal: 205362

Duodecimal: 3366A

Hexadecimal: 10af2

Square: 4670082244

Square Root: 261.4153782775604

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 nX5 0..1 arrays with every element unequal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A304469

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A304471

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A304472

a(n) = n!² * ∑_k=1..n μ(k)/k², where μ(k) is the Moebius function. A68338