Question

16. A perfect number is one for which the sum of the proper divisors is

equal to the number. (The proper divisors are the ones that are less than
the number and divide evenly into the number.) For instance, 496 is a
perfect number. The proper divisors of 496 are 1, 2, 4, 8, 16, 31, 62, 124,
and 248. The sum of the divisors is
1 + 2 + 4 + 8 + 16 +31 +62 + 124 + 248 = 496.
Find a perfect number between 20 and 30.
I
SECTION
a. Anita and the owner of the utility stock purchased their shares
through an online brokerage, whereas Tony and the owner of the au-
tomotive stock did not.
b. The gain in value of Maria's stock is twice the gain in value of the au-
tomotive stock
c. The technology stock is traded on NASDAQ, whereas the stock that
Tony bought is traded on the New York Stock Exchange.

Answer 1

Explanation:

16. Use Euclid Perfect Number formula:

If
`2^(n) -1`a a prime number, then
`2^(n-1)(2^(n) -1)` is a perfect number. 6 is a perfect number when n=2 Let try when n=3

`2^(2) (7)=28`

So 28 is a perfect number