Consider the sequence \( a_{1}, a_{2}, ...... \) defined by \( a_{n} = 2^{n} + 3^{n} + 6^{n} - 1 \), \( (n = 1, 2, .... ) \)

Determine all positive integers that are relatively prime to every term of the sequence.

Enter your answer as the total number of integers that you get.

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