The base 7 number $3206_7$ can be expanded as $3 \cdot 7^3 + 2 \cdot 7^2 + 0 \cdot 7^1 + 6 \cdot 7^0$.
Evaluating this expression, we get $3 \cdot 7^3 + 2 \cdot 7^2 + 0 \cdot 7^1 + 6 \cdot 7^0 = 3 \cdot 343 + 2 \cdot 49 + 0 \cdot 7 + 6 \cdot 1 = 1029 + 98 + 0 + 6 = \boxed{1133}$.
The answer is: 1133
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
What is the base 10 representation of the number $3206_7$?

### Answer:
