Let a₁, a₂, a₃, … be a sequence of positive integers in arithmetic progression with common difference 2. Also, let b₁, b₂, b₃, … be a sequence of positive integers in geometric progression with common ratio 2. If a₁ = b₁ = c, then the number of all possible values of c, for which the equality 2(a₁ + a₂ + ⋯ + aₙ) = b₁ + b₂ + ⋯ + bₙ holds for some positive integer n, is _____.