the totien number of 49

the totien number of 49
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1 Answer

The prime factor of 49 is 7.

φ(49)=49(1-1/7)=49×6/7=42.

This is effectively the same as counting the numbers which are not multiples of 7 between 1 and 48. More specifically those numbers not having a prime factor in common with 49 (coprimes).

So we exclude 7, 14, 21, 28, 35, 42, and 48-6=42.

by Top Rated User (1.2m points)

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