What are the numbers divisible by 4013?

4013, 8026, 12039, 16052, 20065, 24078, 28091, 32104, 36117, 40130, 44143, 48156, 52169, 56182, 60195, 64208, 68221, 72234, 76247, 80260, 84273, 88286, 92299, 96312

There is a total of 24 numbers (up to 100000) that are divisible by 4013.
The sum of these numbers is 1203900.
The arithmetic mean of these numbers is 50162.5.

How to find the numbers divisible by 4013?

Finding all the numbers that can be divided by 4013 is essentially the same as searching for the multiples of 4013: if a number N is a multiple of 4013, then 4013 is a divisor of N.

Indeed, if we assume that N is a multiple of 4013, this means there exists an integer k such that:

$k \times 4013 = N$

Conversely, the result of N divided by 4013 is this same integer k (without any remainder):

$k = \frac{N}{4013}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4013 (we can keep multiplying it by increasingly larger integers, without ever reaching the end).

However, in this instance, we've chosen to set an arbitrary limit (specifically, the multiples of 4013 less than 100000):

1 × 4013 = 4013
2 × 4013 = 8026
3 × 4013 = 12039
...
23 × 4013 = 92299
24 × 4013 = 96312