Unit Perfect number

In Mathematical, a unit perfect number is a Integer which is the nap of its dividing unit clean, by not including the number itself.

Thus, 60 is a unit perfect number, because its unit dividers 1, 3, 4, 5, 12, 15 and 20 are its unit own dividers, and 1 + 3 + 4 + 5 + 12 + 15 + 20 = 60. The first unit perfect numbers are:

6,
60,
90,
87360,
146361946186458562560000

There do not exist unit perfect numbers odd, the sums of their unit dividers are always too short. It is still not known if there exists an infinity of perfect unit numbers even.

See too

Perfect number

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