perplexus.info :: Just Math : Function Function Function Function Foray

Function Function Function Function Foray (Posted on 2015-03-31)

N is a positive integer and F(N) denotes the sum of the base ten digits of N.

Find F(F(F(2²⁰¹⁶))) and F(F(F(F(2²⁰¹⁶))))

*** As an extra challenge, solve the puzzle without using a computer program assisted method.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The answers are respectively 10 and 1.
For an explanation, refer to:
The solution submitted by Jer in this location.
The solution submitted by Charlie in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
computer solution to both parts; analytic solution for part 2	Charlie	2015-03-31 14:43:39
A good guess / computer help	Jer	2015-03-31 12:50:47

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (1)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info