Three Cheers !! Which is the fourth?

Which number comes next in the sequence?

120 , 672 , 523776 , ? ? ? 120, 672, 523776, ???


The answer is 459818240.

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1 solution

The numbers are all Triperfect numbers.

A triperfect number is a positive integer n n such that the sum of its divisors is equal to 3 times n n .

The first six (and the only six known till now) triperfect numbers are

120 120 ,

672 672 ,

523776 523776 ,

459818240 459818240 ,

1476304896 1476304896 ,

51001180160 51001180160 .

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