A non-magnetic screwdriver suddenly becomes magnetic and attracts screw when working near brushed DC motor containing permanent magnet

When I was disassembling my R/C quadcopter, I had to take out the screw holding the plastics.

As i completely unscrew one of the screw near the brushed DC motor, the screw was adhered to the screwdriver like it has magnet on it when the screwdriver absolutely has no magnet on it. It appears that the screwdriver/screw lost it magnetic properties when the distance between the motor and screwdriver/screw exceeds 15MM, because screwdriver drops the screw after that.

From my observation, the screw and the screwdriver will adhere themselves to the motor like magnet when close enough because there’s a permanent magnet inside the motor. But I don’t understand how the permanent magnet inside the motor can induce magnetic properties onto the screwdriver (or screw) from a distance (15MM) without pulling them to itself.

Note: the brushed DC motor size is cylindrical 6x12MM while the screw size is 1x4MM