Ramanujan would like it

\[\large\color{Violet}3^{ \color{green}n}+ \color{Violet}3^{\color{green}n-\color{Brown}1}+ \color{Violet}3^{\color{green}n-\color{Brown}2}+ \color{Violet}3^{\color{green}n-\color{Brown}3}+\color{Violet}3^{\color{green}n-\color{Brown}4} \]

For a certain \(n\) the expression above has \(5178\) positive divisors (inclusive of \(1\) and itself), compute \(n\).

×

Problem Loading...

Note Loading...

Set Loading...