It could be not seated all the way. Make sure the four pins are fully pressed in and snapped into place. Also make sure your RAM is fully seated as well.
If neither of those two work, remove the power cables from the motherboard (24 pin and CPU power) and unplug the power supply, then remove the CMOS battery (looks like a big watch battery on the motherboard) for a couple of minutes, and try again.
Still same :/ removed the card (R9280X) and put it off to the side. Turns on and goes through the same loud noise/shut off/restart thing. Does it have anything to do with the CPU Cooler itself?
I would say your PSU could be the fault. Swap it out for another and see what happens.