Is there a comprehensive list of real-number-describers that allude to the properties of that number?
Amicable numbers, Abundant, Deficient, Perfect, Carmichael, prime, transcendental, etc.
1. If so, where can I find it?
2. What are some new, exciting types of numbers with interesting properties?
3. What is name of the type of irrational number that contains every natural number as a substring of its decimal expansion ?