Properties of the Number 18509

Eighteen Thousand Five Hundred Nine

Basics

Value: 18508 → 18509 → 18510

Parity: odd

Prime: No

Previous Prime: 18503

Next Prime: 18517

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 83 × 223

Divisors: 1, 83, 223, 18509

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100001001101

Octal: 44115

Duodecimal: A865

Hexadecimal: 484d

Square: 342583081

Square Root: 136.04778572251738

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

T(n,k)=Number of nondecreasing -k..k vectors of length n whose dot product with some other -k..k vector equals n. A226340

Numbers that can be written in exactly two different ways as s₁^x_1 + ... + s_t^x_t, with 1 < s₁ < ... < s_t and {s₁,..., s_t} = {x₁,..., x_t} for some t > 0. A386966

Number of positive integers <= 2ⁿ of form 7 x² + 8 y². A54187

Apply inverse of "INVERT" transform to primes with prime exponents. A58315

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (-1, 1, 1), (0, -1, 0), (1, 0, 1), (1, 1, -1)}. A149473

Number of nondecreasing -6..6 vectors of length n whose dot product with some other -6..6 vector equals n. A226338

Number of nondecreasing -n..n vectors of length 6 whose dot product with some other -n..n vector equals 6. A226345

G.f. A(x) satisfies: ∑_n>=0 n!*xⁿ/A(x)ⁿ = 1/(1-x). A159311

Divisors of 540. A18509