How many positive integers smaller than 1,000,000 are powers of 2, but are not powers of 4? You may find it useful to consider that 2^10 = 1024.
+133 A power of 4 is simply 2^(even integer). We must thus avoid even powers of 2.
Since 2^10 = 1024, (2^10)^2 = 2^20 is a bit larger than 1,000,000. Thus, 2^19 will probably be the largest power of 2 less than 1,000,000.
We then count all the odd numbers from 19 to 1, which accounts for 10 numbers.
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