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Mathematics, 22.10.2020 20:01 lilloser

Pythagoras liked to organize positive even integers into groups. One way he did this was to divide them into three groups: evenly-even, oddly-even, and oddly-odd. Evenly-even numbers could be halved, halved again and again until the number 1 was reached; oddly-even numbers could be halved but could not be halved again; oddly-odd numbers could be halved more than once but the number 1 could never be reached. What is the least evenly-even two-digit positive integer? (“Halving”, in this case, can only be carried out on even integers.

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