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A note on the equation ${(x + y + z)}^{2} = x y z$ .

Andreescu, Titu — 2002

General Mathematics

On consecutive integers divisible by the number of their divisors

Titu Andreescu; Florian Luca; M. Tip Phaovibul — 2016

Acta Arithmetica

We prove that there are no strings of three consecutive integers each divisible by the number of its divisors, and we give an estimate for the number of positive integers n ≤ x such that each of n and n + 1 is a multiple of the number of its divisors.

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A note on the equation ( x + y + z ) 2 = x y z .

On consecutive integers divisible by the number of their divisors

A note on the equation ${(x + y + z)}^{2} = x y z$ .