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Trimorphic Number


A trimorphic number is a positive integer n with k decimal digits such that the last k digits of n^3 agree with those of n. 49 is trimorphic since 49^3=117649 (Wells 1986, p. 124). The first few are 1, 4, 5, 6, 9, 24, 25, 49, 51, 75, 76, 99, 125, 249, 251, 375, 376, 499, ... (OEIS A033819). The cited sequence also includes 0.


See also

Automorphic Number, Narcissistic Number, Super-d Number

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References

Sloane, N. J. A. Sequence A033819 in "The On-Line Encyclopedia of Integer Sequences."Wells, D. The Penguin Dictionary of Curious and Interesting Numbers. Middlesex, England: Penguin Books, 1986.

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Trimorphic Number

Cite this as:

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

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