Properties of the Number -1089

Eighty-Nine

Basics

Value: -1090 → -1089 → -1088

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 11 ²

Divisors: 1, 3, 9, 11, 33, 99, 121, 363, 1089

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -10001000001

Octal: -2101

Duodecimal: -769

Hexadecimal: -441

Square: 1185921

Square Root: 33

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

Triangle, read by rows, equal to the matrix inverse of Q=A113381. A114158

Matrix logarithm of triangle A113287. A113290

G.f.: ∏_n>=1 (1 - Lucas(n)*xⁿ + (-1)ⁿ*x^2·n)³ where Lucas(n) = A000204(n). A203861

G.f. satisfies A(x) = 1 + x/(1 + x³) * A(x/(1 + x³)). A360898

Start with 1, add the next number if one gets a prime then add the next number else subtract the next... A74170

Coefficients of modular function G₃(τ). A5761

Determinant of the n X n tridiagonal matrix M with the elements on the diagonals equal to 1, except M(n,n-1)=M(n-1,n)=n. A80322

Hankel transform of expansion of 1/c(x)³, c(x) the g.f. of A000108. A144701

Triangle read by rows: T(n, k) is the coefficient of x^k in the polynomial 1 - T_n(x)², where T_n(x) is the n-th Hermite polynomial of the Hochstadt kind (A137286) as related to the generalized Chebyshev in a Shabat way (A123583): p(x,n)=x·p(x,n-1)-p(x,n-2); q(x,n)=1-p(x,n)². A136667

The squares: a(n) = n². A290