What are the numbers divisible by 2042?

2042, 4084, 6126, 8168, 10210, 12252, 14294, 16336, 18378, 20420, 22462, 24504, 26546, 28588, 30630, 32672, 34714, 36756, 38798, 40840, 42882, 44924, 46966, 49008, 51050, 53092, 55134, 57176, 59218, 61260, 63302, 65344, 67386, 69428, 71470, 73512, 75554, 77596, 79638, 81680, 83722, 85764, 87806, 89848, 91890, 93932, 95974, 98016

There is a total of 48 numbers (up to 100000) that are divisible by 2042.
The sum of these numbers is 2401392.
The arithmetic mean of these numbers is 50029.

How to find the numbers divisible by 2042?

Finding all the numbers that can be divided by 2042 is essentially the same as searching for the multiples of 2042: if a number N is a multiple of 2042, then 2042 is a divisor of N.

Indeed, if we assume that N is a multiple of 2042, this means there exists an integer k such that:

$k \times 2042 = N$

Conversely, the result of N divided by 2042 is this same integer k (without any remainder):

$k = \frac{N}{2042}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2042 (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 2042 less than 100000):

1 × 2042 = 2042
2 × 2042 = 4084
3 × 2042 = 6126
...
47 × 2042 = 95974
48 × 2042 = 98016