Is there a power of 2 if rearranged form another powers of 2. Powers of 2 with trailing zeros is not counted.
Among the natural numbers, I have no idea. Among the integers, I found two:
2^-3 = 0.125
2^9 = 512
2^-4 = 0.0625
2^8 = 256
Among the real numbers, there's infinitely many. Here's just one:
2^(log2(14)) = 14
2^(log2(41)) = 41
Can somebody check for the natural numbers? Even a little coding wouldn't hurt