What is SpaceX doing with Mars?

Could you elaborate on SpaceX's current endeavors and aspirations regarding Mars? Are they solely focused on space exploration, or do they have broader plans for the red planet? What technologies are they developing to make human colonization on Mars a possibility? Additionally, how do their efforts align with other space agencies and private enterprises pursuing similar goals? Lastly, what are the potential challenges and milestones they anticipate encountering along the way?