Page 105 - Numbertheory

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. 8 ( ) 24
. 24 − 8 = 16

[Sum of Divisors] .
12

:

1+ 2 + 3 + 4 + 6 +12 = 28

12 = 22 ×3
12

(20 + 21 + 22 )(30 + 31) = (1+ 2 + 4)(1+ 3)
= 7 × 4 = 28

n = p pk1 k 2 ... p kt
12 t

n

. (1+ p1 + p12 + ... + p k1 ) (1 + p2 + p 2 + ... + p k 2 ) ... (1 + pt + pt2 + ... + p kt )
1 2 2 t

()

. 252

٩٢