Properties of the Number -2289

Two Hundred Eighty-Nine

Basics

Value: -2290 → -2289 → -2288

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 × 109

Divisors: 1, 3, 7, 21, 109, 327, 763, 2289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100011110001

Octal: -4361

Duodecimal: -13A9

Hexadecimal: -8f1

Square: 5239521

Square Root: 47.843494855622744

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

G.f. A(x) satisfies: R(x²*A(x)) = x³ - x⁴, where R(A(x)) = x. A350433

E.g.f. tan(cos(x)*x) (odd powers only). A9633

a(n) = ∑_k=1..n (-1)^k-1 * binomial(k+2,3) * floor(n/k). A366938

a(1) = 1; a(n+1) = a(n) +- (sum of digits of a(1) up to a(n)), with "+" when a(n) is odd, or "-" if even. A332058

Row sums of triangle A161363. A161375

First differences of number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 141", based on the 5-celled von Neumann neighborhood. A270285

A triangle sequence of polynomial coefficients:p(x,n)=Sum[Binomial[n, k]*(-x)^k*Sum[StirlingS2[n, m]*x^m, {m, 0, n - k}], {k, 0, n}]. A174859

Generalized 12-gonal numbers: k*(5·k-4) for k = 0, +-1, +-2, ... A195162

Number of points of norm <= n² in square lattice. A328

Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) + 2, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4. A293765