Deficient number -number whose proper divisors add up to less than itself. For example, 16 is a deficient number as sum of its proper divisors {1, 2, 4, 8} = 15.
Abundant number -number whose proper divisors add up to more than the number itself. For example, 18 is a abundant number as 1+2 +3 +6 +9 = 21. Can you find the smallest abundant number?
Happy number -number for which the sum of the squares of the digits eventually equals 1.For example, 203 is happy because 2² +0² +3² = 13; 1² +3² = 10; 1² +0² = 1
Can you think of another happy number? An unhappy number?
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