Properties of the Number 68085

Sixty-Eight Thousand Eighty-Five

Basics

Value: 68084 → 68085 → 68086

Parity: odd

Prime: No

Previous Prime: 68071

Next Prime: 68087

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 17 × 89

Divisors: 1, 3, 5, 9, 15, 17, 45, 51, 85, 89

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000100111110101

Octal: 204765

Duodecimal: 33499

Hexadecimal: 109f5

Square: 4635567225

Square Root: 260.93102536877444

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

Odd composites for which gcd(A325977(n), A325978(n)) is equal to abs(A325977(n)). A325981

G.f.: A(x) = ∏_n>=1 [ (1-x)⁵*(1 + 5x + 15x² +...+ n(n+1)(n+2)(n+3)/4!*x^n-1) ]. A129358

Recurrence a(1) = 1, a(2) = 5; a(n) = (a(n-1) + a(n-2))/GCD(a(n-1),a(n-2)) + 1. A349576

Triangle read by rows: T(n,k) (0 <= k <= floor(n/2)) is the number of lattice paths from (0,0) to (2n,0) consisting of steps U=(1,1), D=(1,-1), H=(2,0), never going below the x-axis (i.e., Schroeder paths) and having k UH's. A110220

Numbers k such that k and 10·k are both triangular numbers. A68085