CMIMC 2016 Finals Problem NT.2

For each integer n \geq 1, let S_{n} be the set of integers k>n such that k divides 30 n-1. How many elements of the set

\mathcal{S}=\bigcup_{i \geq 1} S_{i}=S_{1} \cup S_{2} \cup S_{3} \cup \ldots

are less than 2016?