Properties of the Number -289

Two Hundred Eighty-Nine

Basics

Value: -290 → -289 → -288

Parity: odd

Prime: No

Previous Prime:

Next Prime: 1

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 17 ²

Divisors: 1, 17, 289

Polygonal

Triangular: No

Square: Yes

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: -100100001

Octal: -441

Duodecimal: -201

Hexadecimal: -121

Square: 83521

Square Root: 17

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

a(n) = nearest integer to n² * sin(sqrt(n)). A274088

Take alternate terms of A274088 and A274090. A274091

a(n) = nearest integer to k²*sin(sqrt(k)+j*π/2) where n = 3·k+j, 0<=j<3. A274092

Alternating partial sums of A000217. A83392

G.f. A(x) satisfies: A(x)⁴ = A(x²)² + 4·x. A107086

Dirichlet g.f.: 1 / ζ(s-2). A334657

For 1<=x<=n, 1<=y<=n, write gcd(x,y) = u·x+v·y with u,v minimal; a(n) = sum of the values of u+v. A345428

Expansion of q * χ(-q) / χ(-q⁵)⁵ in powers of q where χ() is a Ramanujan θ function. A95813

Triangular matrix, read by rows, where row k is formed from the first differences of row (k-1) of its matrix square, with an appended '1' for the main diagonal. A102225

Difference between sums of largest parts of all partitions of n into odd number of parts and into even number of parts. A222049

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