# It seems easy

**Number Theory**Level 4

For each positive integer \(\color{}{k}\), let \(\color{}{S_k}\) denote the increasing arithmetic sequence of integers whose first term is \(\color{}{1} \)and whose common difference is \(\color{} {k}\). For how many values of \(\color{} {k}\) does \(\color{}{S_k}\) contain the term \(\color{} {2005} \).