Difference between revisions of "1987 AIME Problems/Problem 3"
m (→See also) |
m |
||
| Line 1: | Line 1: | ||
| − | |||
== Problem == | == Problem == | ||
| − | + | By a proper divisior of a natural number we mean a positive integral divisor other than 1 and the number itself. A natural number greater than 1 will be called "nice" if it is equal to the product of its distinct proper divisors. What is the sum of the first ten nice numbers? | |
== Solution == | == Solution == | ||
{{solution}} | {{solution}} | ||
Revision as of 23:39, 10 February 2007
Problem
By a proper divisior of a natural number we mean a positive integral divisor other than 1 and the number itself. A natural number greater than 1 will be called "nice" if it is equal to the product of its distinct proper divisors. What is the sum of the first ten nice numbers?
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.
See also
| 1987 AIME (Problems • Answer Key • Resources) | ||
| Preceded by Problem 2 |
Followed by Problem 4 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
| All AIME Problems and Solutions | ||
