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A power cycle is a set of digits that appear when finding a number's exponential before the digits start repeating. The number of elements in a power cycle set is called its cyclicity or frequency.
For example, the power cycle of 2 is 2, 4, 8, 6 with a frequency of 4. This is because the unit digit repeats after every fourth power of 2. The cyclicity of numbers focuses on the unit digit of a number. Each unit digit has a repetitive pattern when raised to any power.
The power cycle concept is useful for: Finding the largest even and odd N-digit numbers in the Hexadecimal Number System Working with Ternary number systems or Base 3 numbers Printing numbers so that no two consecutive numbers are co-prime Finding the Kth element in the permutation of the first N natural numbers Counting numbers of length N with prime numbers at odd indices and odd numbers at even indices
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