| 
									
										
										
										
											2018-10-10 18:03:03 -04:00
										 |  |  |  | --- | 
					
						
							|  |  |  |  | id: 5900f43f1000cf542c50ff52 | 
					
						
							| 
									
										
										
										
											2021-02-06 04:42:36 +00:00
										 |  |  |  | title: 'Problem 211: Divisor Square Sum' | 
					
						
							| 
									
										
										
										
											2018-10-10 18:03:03 -04:00
										 |  |  |  | challengeType: 5 | 
					
						
							| 
									
										
										
										
											2021-02-06 04:42:36 +00:00
										 |  |  |  | forumTopicId: 301853 | 
					
						
							| 
									
										
										
										
											2021-01-13 03:31:00 +01:00
										 |  |  |  | dashedName: problem-211-divisor-square-sum | 
					
						
							| 
									
										
										
										
											2018-10-10 18:03:03 -04:00
										 |  |  |  | --- | 
					
						
							|  |  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2020-12-16 00:37:30 -07:00
										 |  |  |  | # --description--
 | 
					
						
							| 
									
										
										
										
											2018-10-10 18:03:03 -04:00
										 |  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2021-02-06 04:42:36 +00:00
										 |  |  |  | For a positive integer n, let σ2(n) be the sum of the squares of its divisors. For example, | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | σ2(10) = 1 + 4 + 25 + 100 = 130. | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | Find the sum of all n, 0 < n < 64,000,000 such that σ2(n) is a perfect square. | 
					
						
							| 
									
										
										
										
											2018-10-10 18:03:03 -04:00
										 |  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2020-12-16 00:37:30 -07:00
										 |  |  |  | # --hints--
 | 
					
						
							| 
									
										
										
										
											2018-10-10 18:03:03 -04:00
										 |  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2021-02-06 04:42:36 +00:00
										 |  |  |  | `euler211()` should return 1922364685. | 
					
						
							| 
									
										
										
										
											2018-10-10 18:03:03 -04:00
										 |  |  |  | 
 | 
					
						
							|  |  |  |  | ```js | 
					
						
							| 
									
										
										
										
											2020-12-16 00:37:30 -07:00
										 |  |  |  | assert.strictEqual(euler211(), 1922364685); | 
					
						
							| 
									
										
										
										
											2018-10-10 18:03:03 -04:00
										 |  |  |  | ``` | 
					
						
							|  |  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2021-01-13 03:31:00 +01:00
										 |  |  |  | # --seed--
 | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ## --seed-contents--
 | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | ```js | 
					
						
							|  |  |  |  | function euler211() { | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  |   return true; | 
					
						
							|  |  |  |  | } | 
					
						
							|  |  |  |  | 
 | 
					
						
							|  |  |  |  | euler211(); | 
					
						
							|  |  |  |  | ``` | 
					
						
							|  |  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2020-12-16 00:37:30 -07:00
										 |  |  |  | # --solutions--
 | 
					
						
							| 
									
										
										
										
											2020-08-13 17:24:35 +02:00
										 |  |  |  | 
 | 
					
						
							| 
									
										
										
										
											2021-01-13 03:31:00 +01:00
										 |  |  |  | ```js | 
					
						
							|  |  |  |  | // solution required | 
					
						
							|  |  |  |  | ``` |