# It seems easy

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 $$\color{} {2005}$$.

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