Properties of the Number 13828

Thirteen Thousand Eight Hundred Twenty-Eight

Basics

Value: 13827 → 13828 → 13829

Parity: even

Prime: No

Previous Prime: 13807

Next Prime: 13829

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 3457

Divisors: 1, 2, 4, 3457, 6914, 13828

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11011000000100

Octal: 33004

Duodecimal: 8004

Hexadecimal: 3604

Square: 191213584

Square Root: 117.5925167687128

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 minimally rigid n·n adjacency matrices of sphere packings in R³. A173715

G.f. = b(2)*b(6)/(x⁶-x⁴+x²-2·x+1), where b(k) = (1-x^k)/(1-x). A266336

a(n) = n³ + 4. A274077

Expansion of ∏_k>=1 (1 - x^6·k) * (1 + x^12·k-3) * (1 + x^12·k-9) / ((1 - x^4·k-2) * (1 - x^2·k)). A280948

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 64 ones. A31832

Binomial transform of A038507. A97656

Indices of products of twin primes in the semiprimes. A131188

Smallest k such that (k+p(1)) (k+p(2))...(k+p(n))/(p(n)#) is an integer. A215489

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 662", based on the 5-celled von Neumann neighborhood. A273390

s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A001950 (upper Wythoff sequence). A24600