Problem B. 4651. (October 2014)
B. 4651. A positive integer \(\displaystyle n\) is said to be exotic if it is divisible by the number of its positive factors. Prove the following statements:
\(\displaystyle a)\) If an exotic number is odd then it is a perfect square.
\(\displaystyle b)\) There are infinitely many exotic numbers.
Deadline expired on 10 November 2014.
|264 students sent a solution.|
|3 points:||197 students.|
|2 points:||55 students.|
|1 point:||6 students.|
|0 point:||4 students.|
|Unfair, not evaluated:||2 solutions.|