Properties of the Number 15685

Fifteen Thousand Six Hundred Eighty-Five

Basics

Value: 15684 → 15685 → 15686

Parity: odd

Prime: No

Previous Prime: 15683

Next Prime: 15727

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 5 × 3137

Divisors: 1, 5, 3137, 15685

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11110101000101

Octal: 36505

Duodecimal: 90B1

Hexadecimal: 3d45

Square: 246019225

Square Root: 125.23977004130916

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

Third step in Goodstein sequences, i.e., g(5) if g(2)=n: write g(4)=A057650(n) in hereditary representation base 4, bump to base 5, then subtract 1 to produce g(5). A59934

G.f. A(x) satisfies: 1 = ∑_n>=0 ( (1+x)ⁿ - 11·x*A(x) )ⁿ * 5ⁿ / 6ⁿ⁺¹. A323316

a(n) = G_n(12), where G is the Goodstein function defined in A266201. A271559

Positions of records in A249431. A249432

Number of 7 X 7 binary matrices with n ones, with no zero rows or columns, up to row and column permutation. A56079

Numerator of Euler(n,3). A157805

Eight bishops and one elephant on a 3 X 3 chessboard: a(n) = 2ⁿ⁺²-3·F(n+1), with F(n) = A000045(n). A175661

The least semiprime (A001358) such that between it and the next n semiprimes, but not the next n+1 semiprimes, there are no primes. A228170

Pseudoprimes to base 56. A20184

Numbers k that divide the sum of the partition numbers to k. A58856