Finite moments of Pareto order statistics

Let $X_{(1)} < X_{(2)} < X_{(3)} < X_{(4)} < X_{(5)}$ be the order statistics based on a random sample of size $5$ from a continuous distribution with the probability density function $$f(x)=\begin{cases} \frac{1}{x^2}, & 1 < x < \infty \ 0, & \text{otherwise.} \end{cases}$$ Then the sum of all possible values of $r\in\{1, 2, 3, 4, 5\}$ for which $E(X_{(r)})$ is finite equals __________