Happy Numbers
摘要
Though happy numbers are infinite, observing the proportion of happy numbers is interesting. Special happy numbers such as happy Pythagorean triplets, repdigit happy numbers, palindromic happy numbers, happy amicable pairs, happy triangular numbers, etc. are discussed in this chapter. In addition, the distribution of happy primes, consecutive happy numbers, heights of happy numbers, the distribution of gaps between happy numbers, and happy cubes are also dealt with in this chapter. Happy numbers in other bases along with fixed points and cycles are also covered.