A number n is practical if all smaller numbers can be written as a sum of the proper divisors of n. The number 24 is practical because its proper divisors are 1, 2, 3, 4, 6, 8, and 12 and for example
5 = 4+1, 7 = 4+3, 9 = 6+3, 10 = 8+2, 11 = 8+3, 13 = 12+1, 14 = 12+2, 15 = 12+3, 16 = 12+4,
17 = 12+4+1, 18 = 12+6, 19 = 12+3+4, 20 = 12+8, 21 = 12+8+1, 22 = 12+8+2, 23 = 12+8+3
However, 23 is not practical because its only proper divisor, 1, cannot be repeated in the sum.
Write a function to determine whether a number is practical.
Solution Stats
Problem Comments
Solution Comments
Show comments
Loading...
Problem Recent Solvers9
Suggested Problems
-
4003 Solvers
-
272 Solvers
-
48 Solvers
-
Self-similarity 3 - Every other pair of terms
58 Solvers
-
Easy Sequences 10: Sum of Cumsums of Fibonacci Sequence
52 Solvers
More from this Author323
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!