Sigma Floors

Algebra Level 4

14096n117532=? \displaystyle\sum _{ 1 }^{ 4096 }{ \left\lfloor \frac { \left\lfloor \frac { \left\lfloor \frac { \left\lfloor \frac { \left\lfloor \frac { n }{ 11 } \right\rfloor }{ 7 } \right\rfloor }{ 5 } \right\rfloor }{ 3 } \right\rfloor }{ 2 } \right\rfloor } =?

Notation: \lfloor \cdot \rfloor denotes the floor function.

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