books - Please help identify this children's story about a family robot that runs away to avoid being destroyed

I'm trying to find a children's/YA book. I remember it being about a family's robot that is about to be either destroyed or have its mind wiped. The boy that it belonged to orders it to run away to save it. I think it was thought to be defective for not following some of its prime directives. The story is set on either the Moon or Mars and the people live in domes. During the story, the boy meets up with the robot and both helps and is helped.

I don't believe it was I, Robot. It wasn't a short story or stories, but a children's book. At a guess, I'd say it was written for 10-14 year-olds. I keep thinking the book was called "Run, Robot, Run" but I can't find it by that title.

I don't know if it had a positronic brain, but it may have been something like that. I mostly remember that the book started off almost immediately with the child yelling "Run, robot, Run!" and most of the rest of the book being about the robot trying to escape/hide with the boy's help and a growing sense of self.

Thank you! It is the Runaway Robot, I remember that book cover. Greatly appreciated!

Answer

Maybe The Runaway Robot by Lester del Rey?

It's set on Ganymede, one of Jupiter's moons, but it has domes and most of the other features you mentioned.

Found over here.

Here is the description from goodreads:

"We're returning to earth," Paul's father tells him. Paul is wildly excited, for all human beings on the planet Ganymede dream of going back to Earth some day. Then Paul finds out that he cannot take his robot Rex with him. Rex has been his constant companion for sixteen years. Leave him behind? Never!

So begins a series of breathtaking adventures in space as Paul and his robot Rex attempt to outwit the forces that seek to separate them.