Properties of the Number 36685

Thirty-Six Thousand Six Hundred Eighty-Five

Basics

Value: 36684 → 36685 → 36686

Parity: odd

Prime: No

Previous Prime: 36683

Next Prime: 36691

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 5 × 11 × 23 × 29

Divisors: 1, 5, 11, 23, 29, 55, 115, 145, 253, 319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000111101001101

Octal: 107515

Duodecimal: 19291

Hexadecimal: 8f4d

Square: 1345789225

Square Root: 191.53328692423153

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

Coefficient of xⁿ in (∏_m=1..n(1-x^m))ⁿ. A8705

Number of ways to partition the set of vertices of a convex {n+8}-gon into 3 non-intersecting polygons. A350116

Bisection of A008705. A262308

Squarefree products of k primes that are symmetrically distributed around their average. Case k = 4. A294751

Expansion of ∏_k>=1 (1 - x^k)¹⁷. A10823

Numbers n such that σ(n)=σ(d₁)*σ(d₂)*...*σ(d_k) where d₁ d₂ ... d_k is the decimal expansion of n. A98771

Numbers n such that the sum of the distinct prime divisors of n that are congruent to 1 mod 4 equals the sum of the distinct prime divisors congruent to 3 mod 4. A215949

Numbers k such that σ(k) = σ(k - d(k)). A277273

G.f.: (1+x²+x³)/(1-x-x²-x⁴-x⁵). A188223

Primitive (squarefree) elements of A199745. A200145