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 November 10, 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.