A disc of mass $$M$$ and radius $$R$$ is free to rotate about its vertical axis as shown in the figure. A battery operated motor of negligible mass is fixed to this disc at a point on its circumference. Another disc of the same mass $$M$$ and radius $$R/2$$ is fixed to the motor's thin shaft. Initially, both the discs are at rest. The motor is switched on so that the smaller disc rotates at a uniform angular speed $$\omega$$. If the angular speed at which the large disc rotates is $$\omega/n$$, then the value of $$n$$ is ______.