I experience this a lot. When I was younger and the time was all the same number I would sit back and meditate, or think of anything I wanted in that minute, sort of as a way to relax or change up my thought process to something more positive.
I've found from my experience that the more I pay attention to the time of day or numbers in general, the more I will notice them when I would usually not think twice about it. I tend to obsess over it sometimes and get anxious about it, so the best way for me to deal with that is to not pay attention to time (if I have a free schedule).

If it will help, you could look into numerology.
It might be a good idea to steer clear from sites that talk negatively about certain numbers. I notice w/ myself that when I read about what some people think about certain numbers I get scared, so that's why I linked you the site. It has only positive words about the numbers, and it can help cultivate confidence rather than fear. Whatever you do, use your instinct and if you feel weird reading something or if you think it's wrong, then don't read it. (edit: turns out I can't post links yet. if you do a search for "angel numbers recurring 3s" and find a page by 'psychic joanne' on hubpages it will be the site I would have linked you)
Something else that might help is if you took the scientific route (because the beliefs infused with numerology can be pure speculation and isn't based on fact) and maybe looked into something like number theory in mathematics.
Maybe you could also turn it into a reality check in case you need to be grounded