Properties of the Number 18508

Eighteen Thousand Five Hundred Eight

Basics

Value: 18507 → 18508 → 18509

Parity: even

Prime: No

Previous Prime: 18503

Next Prime: 18517

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 7 × 661

Divisors: 1, 2, 4, 7, 14, 28, 661, 1322, 2644, 4627

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100100001001100

Octal: 44114

Duodecimal: A864

Hexadecimal: 484c

Square: 342546064

Square Root: 136.04411049361894

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

Matrix square of Stirling-1 triangle A008275. A39814

Molien series for unitary 16-dimensional full Siegel modular group H₄ of order 48514675507200. A27672

E.g.f.: -log(1 + log(1 - x))³ / 6. A341588

Irregular table read by rows: Take a heptagon with all diagonals drawn, as in A329713. Then T(n,k) = number of k-sided polygons in that figure for k >= 3. A329714

Expansion of Molien series for 16-dimensional complex Clifford group of genus 4 and order 97029351014400. A51354

a(n) = ∑_{k=0..floor(n/2)} binomial(n*(n-k), n·k). A238696

a(n) = 686·n - 14. A157363

Number of partitions of n having standard deviation σ > 5. A238657

T(n, k) = [x^k] ∑_k=0..n Stirling1(n, k)*FallingFactorial(x, k), triangle read by rows, for n >= 0 and 0 <= k <= n. A325872

a(n) = ∑_{k=0..floor(n/10)} binomial(n-5·k,5·k). A348290