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Hoax Number


Binary plot of hoax numbers

A composite number defined analogously to a Smith number except that the sum of the number's digits equals the sum of the digits of its distinct prime factors (excluding 1).

The first few hoax numbers are 22, 58, 84, 85, 94, 136, 160, 166, 202, 234, ... (OEIS A019506), illustrated above as a binary plot, and the corresponding sums of digits are 4, 13, 12, 13, 13, 10, 7, 13, 4, 9, 7, ... (OEIS A050223).


See also

Smith Number

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References

Sloane, N. J. A. Sequences A019506 and A050223 in "The On-Line Encyclopedia of Integer Sequences."

Referenced on Wolfram|Alpha

Hoax Number

Cite this as:

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

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