Number of factors is too easy

\[1000\sum _{ n=0 }^{ \infty }{ \frac { { \sigma }_{ 0 }\left( { 6 }^{ n } \right) }{ { 6 }^{ n } } } \]

Find the value of the expression above if \({ \sigma }_{ 0 }\left( x \right) \) is the number of factors of \(x\). It is also called the divisor function.

As an explicit example, 4 has 3 factors 1,2 and 4, so \({ \sigma }_{ 0 }\left( 4 \right)=3 \).

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