Properties of the Number 13384

Thirteen Thousand Three Hundred Eighty-Four

Basics

Value: 13383 → 13384 → 13385

Parity: even

Prime: No

Previous Prime: 13381

Next Prime: 13397

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 7 × 239

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 239, 478

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010001001000

Octal: 32110

Duodecimal: 78B4

Hexadecimal: 3448

Square: 179131456

Square Root: 115.68923891183657

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

Numbers that are the sum of 9 nonzero 8th powers. A3387

Number of polyhedral graphs with n edges. A2840

Number T(n,k) of ways to place k nonattacking knights on an n X n board; triangle T(n,k), n>=0, 0<=k<=A030978(n), read by rows. A244081

Numbers that are the sum of four positive cubes in five or more ways. A343987

Number of n-indecomposable polyominoes. A125759

Numbers that are the sum of four positive cubes in exactly five ways. A343986

Expansion of e.g.f. ∏_k>=1 ((1 + x^k)/(1 - x^k))^φ(k/k), where φ is the Euler totient function A000010. A318976

Number of triangles larger than size=1 in a matchstick-made hexagon with side length n. A307253

Number of ways to place 6 nonattacking knights on an n X n board. A178499

E.g.f.: -log( ∑_n>=0 (-x)^n*(n+1/2) / (n*(n+1)/2)! ). A205803