Properties of the Number 68334

Sixty-Eight Thousand Three Hundred Thirty-Four

Basics

Value: 68333 → 68334 → 68335

Parity: even

Prime: No

Previous Prime: 68329

Next Prime: 68351

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 7 × 1627

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 1627, 3254

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101011101110

Octal: 205356

Duodecimal: 33666

Hexadecimal: 10aee

Square: 4669535556

Square Root: 261.4077275062847

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

Consider primitive solutions (x,y,z) to the system x+y+z = r², x²+y²+z² = s², x³+y³+z³ = t², with 0<x<=y<=z arranged in order of increasing z; sequence gives y values. A327339

Triangular array T(n, k) read by rows: polynomials for the series expansion of the iterated function F^t(x) = ∑_n>=0 (1/x)^2·n-1*P_n(t)/n! with F¹(x) = (x + sqrt(x² + 4))/2 and F²(x) = F¹(F¹(x)). Row n of the triangle give the coefficients of the polynomial P_n(t). A390822

a(1) = 1; a(n+1) = 1 + ∏_k∣n a(k), product is over the positive divisors, k, of n. A68334