A happy number is defined by the following process. Starting with any positive integer, replace the number by the sum of the squares of its digits, and repeat the process until the number equals 1 (where it will stay), or it loops endlessly in a cycle which does not include 1. Those numbers for which this process ends in 1 are happy numbers, while those that do not end in 1 are unhappy numbers (or sad numbers).
Read more about Happy Number: Overview, Sequence Behavior, Happy Primes, Special Happy Numbers, Happy Numbers in Other Bases, Cubing The Digits Rather Than Squaring, Origin, Popular Culture, Programming Example
Famous quotes containing the words happy and/or number:
“One of the oddest features of western Christianized culture is its ready acceptance of the myth of the stable family and the happy marriage. We have been taught to accept the myth not as an heroic ideal, something good, brave, and nearly impossible to fulfil, but as the very fibre of normal life. Given most families and most marriages, the belief seems admirable but foolhardy.”
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—Johan Huizinga (1872–1945)