GATE 2025 Question 41: Random variables and standard distributions

If $X$ is a continuous random variable whose probability density function is given by

$f_X(x) = \begin{cases} \dfrac{1}{x^2} & \text{for } 1 < x < \infty \\ 0 & \text{elsewhere} \end{cases}$

Then the median of $X$ is ______ (in integer)