Properties of the Number 16685

Sixteen Thousand Six Hundred Eighty-Five

Basics

Value: 16684 → 16685 → 16686

Parity: odd

Prime: No

Previous Prime: 16673

Next Prime: 16691

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 5 × 47 × 71

Divisors: 1, 5, 47, 71, 235, 355, 3337, 16685

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 100000100101101

Octal: 40455

Duodecimal: 97A5

Hexadecimal: 412d

Square: 278389225

Square Root: 129.17043005270207

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) = ∑_k=1..n k*σ(k). A143128

The array in A059216 read by antidiagonals in 'up' direction. A59217

G.f. satisfies: A(x) = 1/(1 + x·A(x⁵)) and also the continued fraction: 1+x·A(x⁶) = [1;1/x,1/x⁵,1/x²⁵,1/x¹²⁵,...,1/x^{5^(n-1}),...]. A101915

Numerators of the convergents of the continued fraction expansion of -ζ(1/2)/sqrt(2*π). A134471

Numbers k such that 4^k + 25 is prime. A204388

Lengths of bit runs in A123504. A123505

Numbers k such that ∑_j=1..k σ(j)^j == 0 (mod k). A229208

a(1) = 1, and for each k >=2, a(k) is the smallest number n such that n/sin(n) > a(k)/sin(a(k)), so that a(1)/sin(a(1)) > a(2)/sin(a(2)) > ... > a(k)/sin(a(k)) > ... A172445

Solution of the complementary equation a(n) = 2·a(n-1) - a(n-2) + b(n-1) -1, where a(0) = 1, a(1) = 2, b(0) = 3, and (a(n)) and (b(n)) are increasing complementary sequences. A294867

The array in A059216 read by antidiagonals in the direction in which it was constructed. A59234