# More than consecutive sums

Algebra Level 4

There are 3 numbers- $$x, y,$$ and $$z$$, where x is the smallest number and z is the largest number. Here are the clues:

1. The product of the numbers is 36.
2. The smallest number that can be written as $$x+16$$ consecutive positive integers, $$y+15$$ consecutive positive integers and $$z+9$$ consecutive positive integers is a four digit number.
3. The smallest number is given the name Henry.
4. The largest number is even.

What is the four digit number?

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