Properties of the Number 18436

Eighteen Thousand Four Hundred Thirty-Six

Basics

Value: 18435 → 18436 → 18437

Parity: even

Prime: No

Previous Prime: 18433

Next Prime: 18439

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 11 × 419

Divisors: 1, 2, 4, 11, 22, 44, 419, 838, 1676, 4609

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100000000100

Octal: 44004

Duodecimal: A804

Hexadecimal: 4804

Square: 339886096

Square Root: 135.77923257994942

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

Let r, s, t be three permutations of the set {1,2,3,..,n}; a(n) = value of ∑_i=1..n r(i)*s(i)*t(i), with r={1,2,3,..,n}; s={n,n-1,..,1} and t={n,n-2,n-4,...,1,...,n-3,n-1}. A70893

Number of regions formed inside square by diagonals and the segments joining the vertices to the points dividing the sides into n equal length segments. A108914

Number of connected simple graphs with n vertices, n+6 edges, and vertex degrees no more than 4. A112426

Numbers k for which A019565(2k)-1 is a multiple of A000265(φ(A019565(2k))). A339973

Number of edges in a square when n internal squares are drawn between the 4n points that divide each side into n+1 equal parts. A357061

Number of (w,x,y,z) with all terms in {1,...,n} and 2∣w-x|<=n+|y-z|. A212690

E.g.f. satisfies A(x) = 1 + (exp(x·A(x)³) - 1)/A(x). A377324

Expansion of (1+x+x²)/((1+x²)*(1+x)⁴*(1-x)⁵). A82290

G.f. is the polynomial (1-x³) * (1-x⁶) * (1-x⁹) * (1-x¹²) * (1-x¹⁵) * (1-x¹⁸) * (1-x²¹) * (1-x²⁴) * (1-x²⁷) * (1-x³⁰) * (1-x³³) / (1-x)¹¹. A162628

Numbers n such that n·2²²⁰³ - 1 is prime. A265503