Equal Numbers of FactorsNumber Theory Level 3
2013, 2014 and 2015 have an interesting property regarding their factors. They all have the same number of factors: 8. What is the smallest positive integer \(N\) that has the same number of factors as \(N+1\) and \(N+2\)?
Bonus: Can you write a program that finds all of the numbers less than \(10^6\) that also have this property?