January 2016 Fiendish Function
The Fiendish Function posed during January 2016 had the following sample guesses and replies:
- 1
- 0
- 2
- 7
- 3
- 11
- 4
- 14
- 5
- 101
- 10
- 108
The rule was: "Write the number in binary, then add the prime factors together".
Suppose the guess was 22:
- Write the number in binary, giving 10110.
- Factorise the number into prime factors, giving 337, 5, 3, 2
- Add these together, giving 347.
So the result is 347.
Earlier answers
Here are the answers to the Fiendish Functions posted in earlier months: