Properties of the Number 83685

Eighty-Three Thousand Six Hundred Eighty-Five

Basics

Value: 83684 → 83685 → 83686

Parity: odd

Prime: No

Previous Prime: 83663

Next Prime: 83689

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 7 × 797

Divisors: 1, 3, 5, 7, 15, 21, 35, 105, 797, 2391

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100011011100101

Octal: 243345

Duodecimal: 40519

Hexadecimal: 146e5

Square: 7003179225

Square Root: 289.28359787585606

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

Expansion of g.f. 1/((1-3·x)*(1-5·x)*(1-7·x)). A17389

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 902", based on the 5-celled von Neumann neighborhood. A284357

Number of 1's in n-th "Kolakoski" string defined in A054349. A111124

Number of (w,x,y,z) with all terms in {1,...,n} and w < (geometric mean of x,y,z). A212141

Number of 3Xn 0..1 arrays with every element equal to 0, 1, 2, 4 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302821

a(n) is the smallest prime of the form k·lcm(1..n) - 1. A83685

G.f.: A(x) = INV(x - x·INV(x - 3·x*INV(x - 5·x*INV(x - 7·x*INV(x - ...))))), where INV(F(x)) = series reversion of F(x). A196659