Properties of the Number 20361

Twenty Thousand Three Hundred Sixty-One

Basics

Value: 20360 → 20361 → 20362

Parity: odd

Prime: No

Previous Prime: 20359

Next Prime: 20369

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 11 × 617

Divisors: 1, 3, 11, 33, 617, 1851, 6787, 20361

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 100111110001001

Octal: 47611

Duodecimal: B949

Hexadecimal: 4f89

Square: 414570321

Square Root: 142.69197594819408

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) = ∑_{i+j+k=n, i,j,k >= 1} τ(i)*τ(j)*τ(k), where τ() = A000005(). A191829

Decimal representation of the x-axis, from the left edge to the origin, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 603", based on the 5-celled von Neumann neighborhood. A283250

G.f.: A(x) = F(x·G(x)³)² = F(G(x)-1)² where F(x) = G(x/F(x)) = 1 + x·F(x)² is the g.f. of A000108 (Catalan) and G(x) = F(x·G(x)) = 1 + x·G(x)³ is the g.f. of A001764. A153298

Number of cliques in the n X n rook graph. A288958

Multiplicity of highest weight (or singular) vectors associated with character chi₈₀ of Monster module. A34468

Numbers k such that the continued fraction for sqrt(k) has period 22. A20361