What are the numbers divisible by 2102?

2102, 4204, 6306, 8408, 10510, 12612, 14714, 16816, 18918, 21020, 23122, 25224, 27326, 29428, 31530, 33632, 35734, 37836, 39938, 42040, 44142, 46244, 48346, 50448, 52550, 54652, 56754, 58856, 60958, 63060, 65162, 67264, 69366, 71468, 73570, 75672, 77774, 79876, 81978, 84080, 86182, 88284, 90386, 92488, 94590, 96692, 98794

There is a total of 47 numbers (up to 100000) that are divisible by 2102.
The sum of these numbers is 2371056.
The arithmetic mean of these numbers is 50448.

How to find the numbers divisible by 2102?

Finding all the numbers that can be divided by 2102 is essentially the same as searching for the multiples of 2102: if a number N is a multiple of 2102, then 2102 is a divisor of N.

Indeed, if we assume that N is a multiple of 2102, this means there exists an integer k such that:

$k \times 2102 = N$

Conversely, the result of N divided by 2102 is this same integer k (without any remainder):

$k = \frac{N}{2102}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2102 (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 2102 less than 100000):

1 × 2102 = 2102
2 × 2102 = 4204
3 × 2102 = 6306
...
46 × 2102 = 96692
47 × 2102 = 98794