Digital sum of a number is obtained by adding all the digits of a number until a single digit is obtained. What is the digital sum of $4444^{4444}$ ?

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Solution

The correct option is C 7
Digital sum of $4444^{4444} = 7^{4444}$
Now, find the cycle of digital sum of 7
$7^{1} = 7, 7^{2} = 13 = 4, 7^{3} = 10 = 1, a n d 7^{4} = 7$
Which is 3. Now, divide 4444 by 3 and the remainder is 1.
Hence, digital sum $= 7^{1} = 7$

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Digital sum of a number is obtained by adding all the digits of a number until a single digit is obtained. What is the digital sum of 44444444?

The correct option is C 7Digital sum of 44444444=74444 Now, find the cycle of digital sum of 7 71=7,72=13=4,73=10=1, and 74=7 Which is 3. Now, divide 4444 by 3 and the remainder is 1. Hence, digital sum =71=7

Digital sum of a number is obtained by adding all the digits of a number until a single digit is obtained. What is the digital sum of $4444^{4444}$ ?

The correct option is C 7
Digital sum of $4444^{4444} = 7^{4444}$
Now, find the cycle of digital sum of 7
$7^{1} = 7, 7^{2} = 13 = 4, 7^{3} = 10 = 1, a n d 7^{4} = 7$
Which is 3. Now, divide 4444 by 3 and the remainder is 1.
Hence, digital sum $= 7^{1} = 7$