## automorphic numberAlso known as an automorph, a number n
whose square ends in n. For instance 5 is automorphic, because
5^{2} = 25, which ends in 5. A number n is called trimorphic
if n^{3} ends in n. For example 49^{3},
= 117649, is trimorphic. Not all trimorphic numbers are automorphic. A number
n is called tri-automorphic if 3n^{2}
ends in n; for example 667 is tri-automorphic because 3 ×
667^{2}, = 1334667, ends in 667.## Related category• TYPES OF NUMBERS | |||||

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