You might find a tiny upgrade with an 1055T or similar, but the X6 were the end of the line for that generation. I wouldn't recommend spending any money on that unless it is for an SSD or RAM if you only have 4GB.
Pavilion Elite HPE desktops were released in 2010.
The 110f, 120f, 130f, and 170f "high performance edition" models do so by offering a choice of processors -- AMD Phenom II Quad-Core or future Intel Core -- as well as ATI Radeon or NVIDIA GeForce graphics.
There is no listing for a "HPE-000 Desktop" model. The Pavilion Elite HPE-000 Desktop PC series is a series of products.