The next three numbers in this sequence are:
33550336,
8589869056, and
137438691328.
These are the first few elements of the perfect numbers. Perfect numbers are those positive integers that equal the sum of all their factors (not including themselves).
For example,
6 = 1 + 2 + 3
28 = 1 + 2 + 4 + 7 + 14
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