Properties of the Number 28770

Twenty-Eight Thousand Seven Hundred Seventy

Basics

Value: 28769 → 28770 → 28771

Parity: even

Prime: No

Previous Prime: 28759

Next Prime: 28771

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 5 × 7 × 137

Divisors: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111000001100010

Octal: 70142

Duodecimal: 14796

Hexadecimal: 7062

Square: 827712900

Square Root: 169.61721610732798

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

G.f.: (1-2·x*c(x))/(1-3·x*c(x)) where c(x) = (1 - sqrt(1-4·x))/(2·x) is the g.f. for Catalan numbers A000108. A49027

Coefficients in a q-analog of the LambertW function, as a triangle read by rows. A152290

Riordan array (1/(1-xc(2x)),xc(2x)/(1-xc(2x))), c(x) the g.f. of A000108. A110506

a(n) = 2^2·n-1 * ( binomial(3·n/2,n) + binomial((3·n-1)/2,n) ). A244039

Riordan array (1/(1+xc(-2x)), xc(-2x)/(1+xc(-2x))), c(x) the g.f. of A000108. A114189

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 625", based on the 5-celled von Neumann neighborhood. A283374

Square array read by antidiagonals: T(n,k)=(T(n,k-1)*n²-Catalan(k-1))/(n-1) with a(n,1)=1 and a(1,k)=Catalan(k) where Catalan(k)=C(2k,k)/(k+1)=A000108(k). A67345

A number triangle based on the Catalan numbers. A110488

a(n) = 18522·n - 8274. A157735

Antidiagonal sums of the convolution array A213773. A213818