0
The positive divisors of 30 are 1, 2, 3, 5, 6, 10, 15 and 30. Thus d(30) =
number of such divisors=8, ľ(30) = sum of such divisors=72 and ľ2(30) =
sum of squares of such divisors= 1 + 4 + 9 + 25 + 100 + 225 + 900 = 1300.
From the formula, since 30=2.3.5, we have d(30 = (1 + 1)(1 + 1)(1 + 1) =
8; ľ(30 = 22
ˇ1
2ˇ1 : 32
ˇ1
3ˇ1 : 52
ˇ1
5ˇ1 = 3
1 : 8
2 : 24
4 = 72 and ľ2(30) = 24
ˇ1
22
ˇ1 : 34
ˇ1
32
ˇ1 : 54
ˇ1
52
ˇ1 =
15
3 : 80
8 : 624
24 = 5:10:26 = 1300.
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