Let \(a_{1},a_{2},a_{3},\ldots\) be a sequence of positive integers in arithmetic progression with common difference 2 . Also, let \(b_{1},b_{2},b_{3},\ldots\) be a sequence of positive integers in geometric progression with common ratio 2 . If \(a_{1} = b_{1} = c\), then the number of all possible values of \(c\), for which the equality \(2\left( a_{1} + a_{2} + \ldots + a_{n} \right) = b_{1} + b_{2} + \ldots + b_{n}\) holds for some positive integer \(n\), is \(\_\_\_\_\)