Since they require a moderate amount of power for establishing the connection with the wireless connector, they seem to drain more than average battery.
Logitech mice are known to have problems with batteries. After inserting the battery and inserting the connector into a USB port, check if the problem got solved. Let the mouse discharge completely before you plug everything back again. Remove the wireless receiver and the batteries present inside the mouse and wait for a couple of minutes. This is an effective solution in this case and works for almost all users.
In any hard reset, we take out all the components including the source of power and let the device discharge for a couple of minutes before plugging everything back in. Sometimes all it takes for any device to get back in the correct configuration or behavior is a hard reset. Solution 1: Remove the Batteries and Receiver