The fan spins when +12v is available to it.
It doesn't care is the CPU or the rest of the Mobo are okay.
If the CPU or Mobo are bad that can stop the fan by way of protective features turning the PSU back off but if that's the case you should at least see the fan 'kick' and then stop.
If there is no fan spin at all then you aren't getting +12v 'to' or 'thru' the motherboard at all.
Usual causes are bad power supply or shorted motherboard caps.
Unusual causes are +12v shorts in drives, video card, or motherboard MOSFETs,,, a burnt PSU to mobo connector,,, or a short [usually mobo] to the chassis.
There can also be grounds in other voltages that keep the PSU from coming on.
At this point I would borrow a known good PSU and see if it will start.
Also try with minimal system.
Disconnect everything from power and motherboard - except:
Keyboard, one RAM module, what's needed for video, CPU.
You should be able to get into the BIOS or to a 'no OS' type error if you have removed the problem device.
It is advisable to do this on a piece of cardboard on a table [build system without the case] to eliminate the possibility of chassis grounds causing the problem.
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