What are the numbers divisible by 4102?

4102, 8204, 12306, 16408, 20510, 24612, 28714, 32816, 36918, 41020, 45122, 49224, 53326, 57428, 61530, 65632, 69734, 73836, 77938, 82040, 86142, 90244, 94346, 98448

There is a total of 24 numbers (up to 100000) that are divisible by 4102.
The sum of these numbers is 1230600.
The arithmetic mean of these numbers is 51275.

How to find the numbers divisible by 4102?

Finding all the numbers that can be divided by 4102 is essentially the same as searching for the multiples of 4102: if a number N is a multiple of 4102, then 4102 is a divisor of N.

Indeed, if we assume that N is a multiple of 4102, this means there exists an integer k such that:

$k \times 4102 = N$

Conversely, the result of N divided by 4102 is this same integer k (without any remainder):

$k = \frac{N}{4102}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 4102 (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 4102 less than 100000):

1 × 4102 = 4102
2 × 4102 = 8204
3 × 4102 = 12306
...
23 × 4102 = 94346
24 × 4102 = 98448