The Blower motor is part# 64118385558.

But before you go to the trouble of replacing it. I believe there is a way to more easily remove the final stage resistor (FSR) and test the operation of your existing HVAC blower fan by putting 12v to it.... Please have a search.

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'03 530i - manual swapped - 425k miles
'06 325Cic auto 115k
'05 X5 3.0 auto 158k
'99 E39 528i 5-speed 130k