Mangan, is generally safe for solo female travelers. It is a peaceful and tranquil place with friendly local residents who are usually helpful towards tourists. You should always exercise general precautions like safeguarding your personal belongings, not wandering off to isolated places alone, and staying aware of your surroundings for personal safety. However, there have been very few instances of crime against tourists, let alone female tourists. So, with a certain degree of caution, you can enjoy a safe and memorable trip in Mangan.