Properties of the Number 53820

Fifty-Three Thousand Eight Hundred Twenty

Basics

Value: 53819 → 53820 → 53821

Parity: even

Prime: No

Previous Prime: 53819

Next Prime: 53831

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 5 × 13 × 23

Divisors: 1, 2, 3, 4, 5, 6, 9, 10, 12, 13

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101001000111100

Octal: 151074

Duodecimal: 27190

Hexadecimal: d23c

Square: 2896592400

Square Root: 231.99137915017445

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

Number of dissections of a polygon: binomial(4·n, n)/(3·n + 1). A2293

Array read by antidiagonals giving number of paths up and left from (0,0) to (n,kn) where x/y <= k for all intermediate points. A70914

A triangle (lower triangular matrix) composed of Pfaff-Fuss (or Raney) sequences. A62993

a(3n+k) = (k+1)*binomial(4n+k, n)/(3n+k+1), where k is n reduced mod 3. A124753

Larger of bi-unitary amicable pair. A292981

Number of necklaces with 7 black beads and n-7 white beads. A32192

Number of achiral polyominoes composed of n pentagonal cells of the hyperbolic regular tiling with Schläfli symbol {5,oo}. A369472

Coefficients T(n,k) of xⁿ*y^k in A(x,y) for n >= 0, k = 0..3·n+1, where A(x,y) satisfies: y = ∑_n=-oo..+oo (-x)^n² * A(x,y)^(n-1²), as an irregular triangle read by rows. A356500

Expansion of g.f. A(x,y) satisfying y/x = ∑_n=-oo..+oo x^n*(3·n+1/2) * (A(x,y)^3·n - 1/A(x,y)^3·n+1), as a triangle read by rows. A361050

a(n) = floor(C(n,6)/7). A11797