Sigma Ceilings

Algebra Level 4

\(\displaystyle\sum _{n = 1}^{ 4096 }{ \left\lceil \frac { 2 }{ \left\lceil \frac { 3 }{ \left\lceil \frac { 5 }{ \left\lceil \frac { 7 }{ \left\lceil \frac { 11 }{ n } \right\rceil } \right\rceil } \right\rceil } \right\rceil } \right\rceil } =?\)

Note:\(\left\lceil x \right\rceil \) denotes the ceiling function.

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