Okay, that is a little more reasonable.
But not such a simple problem.
The easiest way I can think of would be to have a counter running all the time, even when power is off and then clock in into a latch on power up. But that requires use of some power all the time.
Another thing you could try is powering a high frequency oscillator, maybe 1MHz and, on power up use a 555 in monostable mode to capture the count after a short delay. Hopefully, the variations in the delay would be enough to make the number look random.
Or, I think there are actually true random number modules that you can buy, but this might be a little costly.
Bob