Properties of the Number 18695

Eighteen Thousand Six Hundred Ninety-Five

Basics

Value: 18694 → 18695 → 18696

Parity: odd

Prime: No

Previous Prime: 18691

Next Prime: 18701

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 5 × 3739

Divisors: 1, 5, 3739, 18695

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100100000111

Octal: 44407

Duodecimal: A99B

Hexadecimal: 4907

Square: 349503025

Square Root: 136.7296602789607

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) = number of steps to reach 0 when starting from k = (n³)-1 and repeatedly applying the map that replaces k with k - A055401(k), where A055401(k) = the number of positive cubes needed to sum to k using the greedy algorithm. A261228

Number of partitions of n with rank 3 (the rank of a partition is the largest part minus the number of parts). A101200

Number of partitions p of n such that median(p) >= mean(p). A240221

Expansion of x/(1 -x² -x⁴ -x⁷ -x⁸ -x⁹ -x¹⁰). A143351

Numbers n such that φ(2n-1) = σ(n). A67230

Numbers n such that h(n) = 3 h(n-1) where h(n) is the length of the sequence {n, f(n), f(f(n)), ...., 1} in the Collatz (or 3x + 1) problem. (The earliest "1" is meant.) A78420

Numbers k that are a substring of xPy where k=concatenation(x,y) and xPy is the number of permutations A008279(x,y). A359012

The five digits of a(n) and their four successive absolute first differences are all distinct. A365257

Numbers n such that σ(n)=φ(n·bigomega(n)-1). A67877

Square array of Delannoy numbers D(i,j) (i >= 0, j >= 0) read by antidiagonals. A8288