No 6

 
6 has factors 1, 2, 3 and 6.
How many factors does each these factors have?
In order: 1, 2, 2 and 4.
(1+2+2+4)2 = 13+23+23+43
 
30 has factors 1, 2, 3, 5, 6, 10, 15 and 30.
How many factors does each of these factors have?
In order: 1, 2, 2, 2, 4, 4, 4 and 8.
...and yes you've guessed it...
(1+2+2+2+4+4+4+8)2 = 13+23+23+23+43+43+43+83
Are 6 and 30 the only such numbers....??
 

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