Properties of the Number -9408

Four Hundred Eight

Basics

Value: -9409 → -9408 → -9407

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁶ × 3 × 7 ²

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: -10010011000000

Octal: -22300

Duodecimal: -5540

Hexadecimal: -24c0

Square: 88510464

Square Root: 96.99484522385713

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

Series expansion of the elliptic function sqrt(k) = theta₂/theta₃ in powers of q^1/4. A127391

Expansion of the elliptic function sqrt(k(q))/q^1/4 in powers of q, where sqrt(k(q)) = theta₂(q)/theta₃(q). A127392

Expansion of φ(q) / φ(q⁴) in powers of q where φ() is a Ramanujan θ function. A208274

a(2n) = A001570(n), a(2n+1) = -A007654(n+1). A108946

Array of coefficients in Zagier's polynomials P_n,0(x). A75733

Expansion of 8 * η(q)⁷ / η(q⁷) + 49 * (η(q) * η(q⁷))³ in powers of q. A138809

Expansion of φ(x) / φ(x²) * f(-x, -x⁷) / f(-x³, -x⁵) in powers of·where φ(), f() are Ramanujan θ functions. A230534

Expansion of (φ(x) / φ(x²)) * (f(-x³, -x⁵) / f(-x¹, -x⁷)) in powers of·where φ(), f() are Ramanujan θ functions. A245434

Let c(n) = x^2ⁿ-1*(1-x^2ⁿ), g(n) = 1 + x^2ⁿ-1 + x^2ⁿ, h(n) = ∏_i=1..n g(i); then use g.f. (1+2·x) - ∑_n>=1 c(n)/h(n). A151684

Let P(k,X) = ∏_i=1..2·k (X-1/cos(π*(2·i-1)/(4·k)) ) which is a polynomial with integer coefficients. Sequence gives array of coefficients for P(k,X). A75615