Properties of the Number 13788

Thirteen Thousand Seven Hundred Eighty-Eight

Basics

Value: 13787 → 13788 → 13789

Parity: even

Prime: No

Previous Prime: 13781

Next Prime: 13789

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 383

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 383

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010111011100

Octal: 32734

Duodecimal: 7B90

Hexadecimal: 35dc

Square: 190108944

Square Root: 117.42231474468556

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

Icosahedral numbers: a(n) = n*(5·n² - 5·n + 2)/2. A6564

Sum of the n-th maximal antirun of odd primes differing by more than two. A373405

Number of integer partitions of n such that (length) * (maximum) < 2n. A361852

n·A000084(n). A58353

Number of self-avoiding polygons of area n with one (self-avoiding polygon) hole on square lattice (not allowing rotations). A57406

G.f.: ∑_n>=0 (n+1) * (x + xⁿ)ⁿ. A325997

Numbers·such that x² = y³ + z (0 < abs(z) < y). A268510

a(n) = 9·n² + 21·n - 6 (n>=1). A304374

Number of homogeneous primitive partition identities of degree 6 with largest part n. A7344

Expansion of e.g.f. cos(x)*cos(log(1+x)). A9097