Properties of the Number -9288

Two Hundred Eighty-Eight

Basics

Value: -9289 → -9288 → -9287

Parity: even

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 43

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10010001001000

Octal: -22110

Duodecimal: -5460

Hexadecimal: -2448

Square: 86266944

Square Root: 96.37427042525407

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

Coefficient triangle of certain polynomials. A56588

Expansion of a(q) * b(q)³ in powers of q where a(), b() are cubic AGM θ functions. A215711

Let f(x) = 1 + ∑_j>=4 (|μ(j)| - |μ(j-1)|)*x^j, where μ(n) is the Möbius function (A008683). Then a(n) is n times the coefficient of xⁿ in the expansion of log(f(x)). A262400

A triangular sequence of coefficients made from a product sum of the Pascal/binomial and the Chebyshev T Polynomials: t(n,m)=-Sum[Binomial[n + 1, k + 1]*CoefficientList[ChebyshevT[k + 1, x], x][[m]], {k, m, n}]. A142701

E.g.f. A(x) satisfies A( x/(exp(4·x)*cosh(4·x)) ) = exp(x)*cosh(x). A218307

Numbers n such that the decimal expansions of both n and n² have 2 as smallest digit and 9 as largest digit. A257485

Numbers of the form p³*q³*r where p, q, and r are prime. A179688

Numbers that are the sum of five third powers in exactly nine ways. A345186

Numbers that have exactly two exponents in their prime factorization that are equal to 3. A386801

Triangle T(n,k), read by rows n>=0 with terms k=1..3ⁿ, where row n lists the coefficients in the n-th iteration of x*(1+x)². A166888