No 2

The factors of 28 (not including itself) are 1, 2, 4, 7 and 14.
Astonishingly these factors add up to give 28.
Because 28 has this special property it is called a Perfect Number.
28 = 13 + 33 and so is also the sum of the first two odd cubes.
Calculate 13 + 33 + 53 + 73. Find all the factors of this number. Is the number Perfect?
Does this pattern continue to be true? Investigate.

 

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