What are the numbers divisible by 7013?

7013, 14026, 21039, 28052, 35065, 42078, 49091, 56104, 63117, 70130, 77143, 84156, 91169, 98182

There is a total of 14 numbers (up to 100000) that are divisible by 7013.
The sum of these numbers is 736365.
The arithmetic mean of these numbers is 52597.5.

How to find the numbers divisible by 7013?

Finding all the numbers that can be divided by 7013 is essentially the same as searching for the multiples of 7013: if a number N is a multiple of 7013, then 7013 is a divisor of N.

Indeed, if we assume that N is a multiple of 7013, this means there exists an integer k such that:

$k \times 7013 = N$

Conversely, the result of N divided by 7013 is this same integer k (without any remainder):

$k = \frac{N}{7013}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 7013 (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 7013 less than 100000):

1 × 7013 = 7013
2 × 7013 = 14026
3 × 7013 = 21039
...
13 × 7013 = 91169
14 × 7013 = 98182