What are the numbers divisible by 4191?

4191, 8382, 12573, 16764, 20955, 25146, 29337, 33528, 37719, 41910, 46101, 50292, 54483, 58674, 62865, 67056, 71247, 75438, 79629, 83820, 88011, 92202, 96393

There is a total of 23 numbers (up to 100000) that are divisible by 4191.
The sum of these numbers is 1156716.
The arithmetic mean of these numbers is 50292.

How to find the numbers divisible by 4191?

Finding all the numbers that can be divided by 4191 is essentially the same as searching for the multiples of 4191: if a number N is a multiple of 4191, then 4191 is a divisor of N.

Indeed, if we assume that N is a multiple of 4191, this means there exists an integer k such that:

$k \times 4191 = N$

Conversely, the result of N divided by 4191 is this same integer k (without any remainder):

$k = \frac{N}{4191}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4191 (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 4191 less than 100000):

1 × 4191 = 4191
2 × 4191 = 8382
3 × 4191 = 12573
...
22 × 4191 = 92202
23 × 4191 = 96393