Properties of the Number 8685

Eight Thousand Six Hundred Eighty-Five

Basics

Value: 8684 → 8685 → 8686

Parity: odd

Prime: No

Previous Prime: 8681

Next Prime: 8689

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 193

Divisors: 1, 3, 5, 9, 15, 45, 193, 579, 965, 1737

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000111101101

Octal: 20755

Duodecimal: 5039

Hexadecimal: 21ed

Square: 75429225

Square Root: 93.1933474020544

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

Numbers n such that nextprime(n³)-prevprime(n³) = 4. A90121

T(n,k)=Number of ways to arrange k nonattacking knights on the lower triangle of an n X n board. A194492

Numbers k such that (k³ - 2, k³ + 2) is a pair of cousin primes (see A178227). A178228

n times the n-th noncomposite. A164931

a(n) = floor(a(n-1)/3)+a(n-2) with a(0)=2, a(1)=3. A182281

Solutions to φ(n) = φ(σ(n)) that are not given by Theorem 3 of Golomb's manuscript. A260021

Square table, read by antidiagonals, of coefficients T(n,k) of xⁿ*y^k in f(x,y) that satisfies f(x,y) = 1/(1-x-y) + xy·f(x,y)³. A88925

Least k such that decimal representation of k·n contains only digits 0 and 3. A96682

Products of three distinct tribonacci numbers > 1. A274434

Consecutive states of the linear congruential pseudo-random number generator (1021·s + 25673) mod 121500 when started at s=1. A385341