Properties of the Number 20713

Twenty Thousand Seven Hundred Thirteen

Basics

Value: 20712 → 20713 → 20714

Parity: odd

Prime: No

Previous Prime: 20707

Next Prime: 20717

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 7 × 11 × 269

Divisors: 1, 7, 11, 77, 269, 1883, 2959, 20713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 101000011101001

Octal: 50351

Duodecimal: BBA1

Hexadecimal: 50e9

Square: 429028369

Square Root: 143.92011673147016

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

Numbers that are the sum of 9 positive 9th powers. A3398

Number of partitions of n having no parts with multiplicity 9. A184644

a(n) = ∑_{x₁∣n, x₂∣n, ... , x_n∣n} gcd(x₁,x₂, ... ,x_n). A344140

Number of tilings of 4 X 3n rectangle by 1 X 3 rectangles. Rotations and reflections are considered distinct tilings. A49086

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p = {p₁, p₂, p₃, p₄} = {-1,0,1,2}, n=3·r+p_i, and define a(-1)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,2,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(x³-2·x) with x=2·cos(π/9). A187504

a(n) = n*(14·n + 13) + 3. A195029

Number of (6+1) X (n+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250660

G.f.: (1+x³+x⁴+x⁵+x⁶+x⁹)/((1-x)*(1-x²)²*(1-x³)*(1-x⁴)). A90491

(Provable) Sierpiński numbers: odd numbers n such that for all k >= 1 the numbers n·2^k + 1 are composite. A76336

a(n) = 1 + 78557·2ⁿ. A258073