Properties of the Number 28364

Twenty-Eight Thousand Three Hundred Sixty-Four

Basics

Value: 28363 → 28364 → 28365

Parity: even

Prime: No

Previous Prime: 28351

Next Prime: 28387

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 7 × 1013

Divisors: 1, 2, 4, 7, 14, 28, 1013, 2026, 4052, 7091

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110111011001100

Octal: 67314

Duodecimal: 144B8

Hexadecimal: 6ecc

Square: 804516496

Square Root: 168.41615124446943

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 3·n binary matrices without unit columns up to row and column permutations. A57524

Expansion of 1/(1+2·x*c(x)), c(x) the g.f. of Catalan numbers A000108. A126984

G.f. A(x) satisfies: A(x) = 1 + ∑_k>=1 k·x^k*A(x)^k/(1 - x^k*A(x)^k). A307399

Numbers k such that the sums (with multiplicity) of prime factors of k and k+1 are both squares. A359445

Triangle T(n,m) = ∑_k=0..m Catalan(n-k)*Catalan(k). A28364

Triangle read by rows: number of Dyck paths of semilength n with k peaks before the first return (1<= k <n). A101974

Number of length-n 0..7 arrays with no repeated value differing from the previous repeated value by other than plus two, zero or minus 1. A269618