How can I convince you that the following
Counting factors: is this approach in the literature on multiperfect numbers?
is a viable approach to showing that odd perfect numbers are sparse or nonexistent?

I can't. The best I can hope for is that you are interested, you will see the question,
and then you will correspond and or collaborate with me. If number theory isn't
your passion, I don't want to look for other incentives for you to try it.

If you can explain why this problem is so important to mathematicians in
specialty X, write it down, post it on a web page along with your contact
information, and provide a link to that page from your question.
A mathematician has to motivate him/herself toward a problem, and that
often occurs by reading a well-written account of that problem. The MO question is
a good start: a (lengthy but well-written) motivational piece belongs outside of MathOverflow.

visiblylinking did not work in titles. $\endgroup$ – user9072 May 26 '14 at 12:30