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Unhappy Number


An unhappy number is a positive integer that is not a happy number. Starting from an unhappy number, repeatedly replacing the current value by the sum of the squares of the digits in its decimal expansion never reaches 1.

The first few unhappy numbers are 2, 3, 4, 5, 6, 8, 9, 11, 12, 14, 15, 16, 17, 18, 20, ... (OEIS A031177).


See also

Economical Number, Evil Number, Happy Number, Lucky Number, Odious Number, Wasteful Number

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References

Sloane, N. J. A. Sequence A031177 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Unhappy Number

Cite this as:

Weisstein, Eric W. "Unhappy Number." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/UnhappyNumber.html

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