Properties of the Number 68100

Sixty-Eight Thousand One Hundred

Basics

Value: 68099 → 68100 → 68101

Parity: even

Prime: No

Previous Prime: 68099

Next Prime: 68111

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 ² × 227

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101000000100

Octal: 205004

Duodecimal: 334B0

Hexadecimal: 10a04

Square: 4637610000

Square Root: 260.95976701399775

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

G.f. satisfies: A(x) = 1/(1 + x·A(x⁵)) and also the continued fraction: 1+x·A(x⁶) = [1;1/x,1/x⁵,1/x²⁵,1/x¹²⁵,...,1/x^{5^(n-1}),...]. A101915

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (-1, 1, 1), (0, -1, 1), (0, 1, 0), (1, 0, -1)}. A148171

a(1) = 1; a(n+1) = n!*∑_k∣n a(k)/k!. A68100