Fixed-point (invariant) digit(s) upon squaring, power-iterations for Base 2, 3, 4, 5, 8, . . .

[henh...@gmail.com‏]

(if you think it's easy (or utterly trivial) ... you should prob. wait a few days before ....)


Some lowest digits (like 5 or 6) (doesn't) don't change when you Square the number.

Some lowest 2-digits (like 25 or 76) doesn't change when you Square the number. (or when you keep multiplying it with that same Number)


what are the counterpart
Fixed-point (invariant) digit(s) upon squaring, power-iterations
for Base 2, 3, 4, 5, 8, . . . ?