Properties of the Number -2808

Eight Hundred Eight

Basics

Value: -2809 → -2808 → -2807

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 13

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 13, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -101011111000

Octal: -5370

Duodecimal: -1760

Hexadecimal: -af8

Square: 7884864

Square Root: 52.99056519796708

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

Dirichlet inverse of the Jordan function J₂ (A007434). A46970

Expansion of (9*φ(q)*φ(q³)⁵ - φ(q)⁵*φ(q³))/8 in powers of q where φ(q) is a Ramanujan θ function. A113261

a(n) = Sum[d∣n, d==1 (mod 3), d²] - Sum[d∣n, d==2 (mod 3), d²]. A103440

Array: row n shows the coefficients of the characteristic polynomial of the n-th principal submatrix of min(i(i+1)/2, j(j+1)/2) (A106255). A204024

Expansion of η(q)⁴ * η(q²) * η(q⁶)⁵ / η(q³)⁴ in powers of q. A111661

Expansion of a(q) * b(q)² in powers of q where a(), b() are cubic AGM θ functions. A181976

n² * a(n) = 2*(7·n² - 7·n + 3)*a(n-1) - 12*(7·n² - 14·n + 9)*a(n-2) + 39*(7·n² - 21·n + 18) * a(n-3) - 72*(7·n² - 28·n + 30)*a(n-4) + 72*(7·n² - 35·n + 45) * a(n-5) - 216*(n-3)² * a(n-6), with a(0)=1, a(1)=6, a(2)=24, a(3)=78, a(4)=216, a(5)=504. A276179

Dirichlet inverse of A341528, where A341528(n) = n * σ(A003961(n)), and A003961 is fully multiplicative with a(prime(i)) = prime(i+1). A378228

Dirichlet inverse of A341529, where A341529(n) = σ(n) * A003961(n), and A003961 is fully multiplicative with a(prime(i)) = prime(i+1). A378229

Expansion of (b(q³)³ - b(q)³) / 9 in powers of q where b() is a cubic AGM θ function. A181905