Abstract:
This article discusses several properties of digital roots of powers of numbers. The
digital root of number is one digit value which obtained by calculating the sum of
each digit iteratively until one digit number is obtained. Several interesting
properties of digital root of powers of numbers are applied to calculate the digital
root of perfect numbers, Fermat numbers and powers of numbers in an arithmetic
progression. This article is a review part of articles of Izmirli [Advances in Pure
Mathematics, 4 (2014), 295-301]