Most Helpful Girl
It's not a matter of how long you feel like you need to wait, it's when you're emotionally and mentally ready. I hate to say it, but if it was a half a year relationship and the next week you're ready to date someone else, it doesn't seem like you were very content with the relationship. From what I'm thinking, it sounds like you're asking when it's socially acceptable to find another boyfriend and when people won't judge you for jumping into another relationship almost immediately.
I know this sounds so mean, but if you were really invested in the relationship you wouldn't be ready to date again a week later. Healing takes time, especially from someone who means (or meant) a lot to you. A week later and you're already over it, sounds like a very low-key and simple relationship to me that wasn't very serious. Don't feel like it's time to jump back into things too. If you need time to yourself, go ahead.