Properties of the Number 68192

Sixty-Eight Thousand One Hundred Ninety-Two

Basics

Value: 68191 → 68192 → 68193

Parity: even

Prime: No

Previous Prime: 68171

Next Prime: 68207

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁵ × 2131

Divisors: 1, 2, 4, 8, 16, 32, 2131, 4262, 8524, 17048

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101001100000

Octal: 205140

Duodecimal: 33568

Hexadecimal: 10a60

Square: 4650148864

Square Root: 261.1359799031914

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+2) = 2·a(n+1) + 2·a(n); a(0) = 1, a(1) = 3. A28859

a(n) = 2·a(n-1) + 2·a(n-2) for n > 2, a(0)=1, a(1)=1, a(2)=3. A155020

a(n)*a(n+3) - a(n+1)*a(n+2) = 2ⁿ, given a(0)=1, a(1)=3, a(2)=7. A80882

Triangle read by rows: T(n,k) is the number of ternary sequences of length n containing k subsequences 00 (n>=0, 0<=k<=max(0,n-1)). A118357

G.f. A(x) satisfies: A(x) = B(x)*(A(x) - x·C(x)) where B(x) = A(x/B(x)) and C(x) = A(x·C(x)). A247224

Number of 2 X 2 matrices having entries in {0,1,...,n} and determinant in the open interval (-n,n) with no entry repeated. A279273

Expansion of 1 / ((1-x)*(1-x+x²+x³)). A77872

Let a(1)=2, f(n) = 4·a(1)*a(2)*...*a(n-1) for n >= 1 and a(n) = f(n)-prevprime(f(n)-1) for n >= 2, where prevprime(x) is the largest prime < x. A68192