What are the numbers divisible by 7101?

7101, 14202, 21303, 28404, 35505, 42606, 49707, 56808, 63909, 71010, 78111, 85212, 92313, 99414

There is a total of 14 numbers (up to 100000) that are divisible by 7101.
The sum of these numbers is 745605.
The arithmetic mean of these numbers is 53257.5.

How to find the numbers divisible by 7101?

Finding all the numbers that can be divided by 7101 is essentially the same as searching for the multiples of 7101: if a number N is a multiple of 7101, then 7101 is a divisor of N.

Indeed, if we assume that N is a multiple of 7101, this means there exists an integer k such that:

$k \times 7101 = N$

Conversely, the result of N divided by 7101 is this same integer k (without any remainder):

$k = \frac{N}{7101}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 7101 (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 7101 less than 100000):

1 × 7101 = 7101
2 × 7101 = 14202
3 × 7101 = 21303
...
13 × 7101 = 92313
14 × 7101 = 99414