What are the numbers divisible by 6117?

6117, 12234, 18351, 24468, 30585, 36702, 42819, 48936, 55053, 61170, 67287, 73404, 79521, 85638, 91755, 97872

There is a total of 16 numbers (up to 100000) that are divisible by 6117.
The sum of these numbers is 831912.
The arithmetic mean of these numbers is 51994.5.

How to find the numbers divisible by 6117?

Finding all the numbers that can be divided by 6117 is essentially the same as searching for the multiples of 6117: if a number N is a multiple of 6117, then 6117 is a divisor of N.

Indeed, if we assume that N is a multiple of 6117, this means there exists an integer k such that:

$k \times 6117 = N$

Conversely, the result of N divided by 6117 is this same integer k (without any remainder):

$k = \frac{N}{6117}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 6117 (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 6117 less than 100000):

1 × 6117 = 6117
2 × 6117 = 12234
3 × 6117 = 18351
...
15 × 6117 = 91755
16 × 6117 = 97872