nt.number theory - Average of twin prime pairs is Abundant number, except for 4 and 6. Any prime is a factor of average of twin prime pair

I have an intuition that Average of twin prime pairs is always Abundant number except for 4 and 6.
For example:

12 < 1+2+3+4+6=16

18 < 1+2+3+6+9=21

...

But I can't prove this. Could you give me any good idea?

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2010-08-22
I think that Any prime is a factor of average of twin prime pair.
Do you agree with me?