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What are special digits?

scaler.com - Special Number in Java - Scaler Topics

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A number is said to be a special number if the sum of the factorial of the digits in the number is equal to the number itself. The factorial of each digit in the number is calculated and is added to a variable called sum. After the factorial of all the digits has been calculated, the sum is compared with the original number. If both of them are equal, the number is said to be a special number.

Introduction to Special number in Java

As a programmer, we are familiar with many 'number-based' programs like Perfect number, Armstrong number, Magic number, Happy number etc. Special number is also one such number. Such programs revolve around various mathematical concepts and playing around with the digits of the number. A number is said to be a special number if the sum of the factorial of the digits in the number is equal to the number itself. The factorial of each digit in the number is calculated and is added to a variable called sum. After the factorial of all the digits has been calculated, the sum is compared with the original number. If both of them are equal, the number is said to be a special number. Example: 1 4 5 145 145 is said to be a special number. Since, 1 ! + 4 ! + 5 ! = 1 4 5 1! + 4! + 5! = 145 1!+4!+5!=145, it is a special number. Calculations- 1 ! = 1 1 != 1 1!=1, 4 ! = 2 4 4 != 24 4!=24 and 5 ! = 1 2 0 5 != 120 5!=120 after adding them, 1 + 2 4 + 1 2 0 1 + 24 + 120 1+24+120 we get 1 4 5 145 145. Hence we can say that it is a special number.

There are 4 special numbers: 1, 2, 145, and 40585.

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