my final statement 2

 This one below is my final statement. This one is checked to a value of n from 1 to up to a million.

This formula is hardly anywhere near James Stirling formula. Stirling's approximate formula is far superior and far better than this.

Stirling's formula is an approximate formula. It gives n! approximately for decimal and huge huge numbers.

For accurate value of n! for decimal and positive integers use integral functions of e or integral functions of log.

Have a nice day !!

To get accurate information expression like below may be used . These values may be multiplied with n and 8 * pi may be subtracted. The value thus obtained may be raised to 1.0247. This is the required factor for this problem. 

Hope the matter is clear and complete from my side. Thanks 😊 🙏 .

Required range is hereby obtained.

And two simple calculations are also done.

This finishes the work in this topic.