Power of power

Level pending

If the number of powers of 3 present in 3335! is N . Find sum of digits on N.

Eg. number of powers of 3 in 27 x 18 is 5


The answer is 16.

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2 solutions

William Isoroku
Aug 30, 2014

Use the greatest integer function to find out how many of each powers of 3 goes into 3335. It's 1663. So the sum of the digits is 16.

Rutvik Paikine
Jan 5, 2014

The number of powers of 3 present in 3335! result to be 1663.

Therefore, 1+6+6+3 is 16.

Hence the answer.

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