KöMaL - Középiskolai Matematikai és Fizikai Lapok
Sign In
Sign Up
 Magyar
Information
Contest
Journal
Articles

 

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.

(3 pont)

Deadline expired on 10 November 2014.


Statistics:

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.

Our web pages are supported by:   Ericsson   Cognex   Emberi Erőforrás Támogatáskezelő   Emberi Erőforrások Minisztériuma   Nemzeti Tehetség Program    
MTA Energiatudományi Kutatóközpont   MTA Wigner Fizikai Kutatóközpont     Nemzeti
Kulturális Alap   ELTE   Morgan Stanley