perplexus.info :: Just Math : Factorial Sequence II

Factorial Sequence II (Posted on 2006-03-10)

To go along with Factorial Sequence, I present Factorial Sequence II. You can approximate the length of x! by multiplying x*log(x/e).

Now, using this knowledge, find the value at which the length of x! is equal to 1,000,000,000?

See The Solution Submitted by Justin

Rating: 4.0000 (2 votes)

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Puzzle Answer

Comment 4 of 4 |

There does not exist any value of x, so that x! rounds to 1,000,000,000.

The nearest value is x= 130202808 for which x! rounds to 999,999,999 and x = 130202809 for which x! rounds to 1000,000,008.

Edited on December 18, 2023, 11:22 am

Posted by K Sengupta on 2023-12-18 11:20:17

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