# What are the multiples of 2029?

2029, 4058, 6087, 8116, 10145, 12174, 14203, . . .

### How do you find all positive integers N such that the product 2029 x N has exactly four divisors?

2029 is a prime number. So let N be any prime number other than 2029. Then 2029*N has the four factors 1, 2029, N and 2029*N. [If N = 2029, then 2029 and N are the same and you have only 3 factors.] So in theory you can find N. However, since there are infinitely many prime numbers, you cannot find them all.

### How do you find all positive integers N such that the product 2029 x N has exactly three divisors?

There is only 1 value of N that satisfies 2029 x N has exactly three divisors: N = 2029 To have exactly three divisors, the number must be the square of a prime number. 2029 is a prime number with exactly 2 divisors (1 and 2029). Thus the only number with exactly three divisors of which two are 1 and 2029 is 20292 (= 4116841), making N = 2029.

### Is everyone going to die in 2029?

It seems unlikely. Even I will only be 79 in 2029, and my family is noted for long life expectancy. Oh, you were referring to the Friday, April 13, 2029 near pass by the asteroid Apophis? No, Apophis will certainly miss the Earth in 2029. However, it will come quite close to the Earth, and the Earth's gravity will deflect the orbit of Apophis very slightly, giving it a tiny but measurable probability of striking…