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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