very likely one or other of those numbers will give a hint as to when the computer was manufactured. I only wondered because you might not, if you knew the computer was an old one, feel like spending a lot of money on it.
A though has occurred to me. You will appreciate that switching on a computer is not as simple a matter as turning on a light. In the first --small-- fraction of a second, a lot of things are going on. The BIOS, which is software contained in a chip on the motherboard, is attempting to get the computer hardware up and running and ready to start the operating system (e.g. Windows). It will test the RAM and also try to start up the processor. If these have a good steady voltage within specifications then the next thing is to check out the rest of the hardware.
A power hungry hard drive can take a big surge of power as it spins up to speed and drag down voltages so that the processor, for example, does not send the "OK" signal that permits the rest of the startup. As a result the computer shuts down. This can happen if a computer has a lot of drives attached. For this reason there is often an option in the BIOS called "hard drive delay" which delays spinning up the hard drive for a selectable time, usually from 1 second up to 5 or 10 seconds. This ensures that the processor has a good stable voltage when it starts. A borderline power supply (i.e. one that was only just powerful enough to reliably supply the computer before, and which is furthermore getting old) could well be another factor.
So maybe that explains the fact that a new and presumably good hard drive shuts the PC down while an older smaller one lets it start.