Automorphic number - Wikipedia
In mathematics, an automorphic number (sometimes referred to as a circular number) is a natural number in a given number base whose square "ends" in the same digits as the number itself.
Automorphic Number - GeeksforGeeks
4 天之前 · An automorphic number is a number whose square ends in the same digits as the number itself. A number n is called automorphic if: n 2 (mod 10 d) = n. where d is the number of digits in n. Examples: n = 5: n 2 = 25; Last digit of 25 is 5, so 5 is automorphic. n = 76: n 2 = 5776; Last two digits of 5776 are 76, so 76 is automorphic. n = 6: n 2 = 36
Automorphic Number Program in Java - Javatpoint
A number is called an automorphic number if and only if the square of the given number ends with the same number itself. For example, 25, 76 are automorphic numbers because their square is 625 and 5776 , respectively and the last two digits of the square represent the number itself.
Automorphic Number -- from Wolfram MathWorld
2025年1月14日 · A number such that has its last digit(s) equal to is called -automorphic. For example, (Wells 1986, pp. 58-59) and (Wells 1986, p. 68), so 5 and 6 are 1-automorphic. Similarly, and , so 8 and 88 are 2-automorphic. de Guerre and Fairbairn (1968) give a history of automorphic numbers.
What is Automorphic Number
2023年7月3日 · An automorphic number is a non-zero positive integer that, when squared, produces a result in which its original number appears as the ending digits. In other words, an automorphic number "reflects" itself within its square.
Simple Math Creates Infinite and Bizarre Automorphic Numbers
2024年1月11日 · In general, numbers whose square ends with the same digit or digits as the number itself are called automorphic. There are an infinite number of these: 0, 1, 5, 6, 25, 76, 376, and...
Automorphic Number
A number such that has its last digits equal to is called -automorphic. For example, and are 1-automorphic and and are 2-automorphic. de Guerre and Fairbairn (1968) give a history of automorphic numbers.