What are the numbers divisible by 2044?

2044, 4088, 6132, 8176, 10220, 12264, 14308, 16352, 18396, 20440, 22484, 24528, 26572, 28616, 30660, 32704, 34748, 36792, 38836, 40880, 42924, 44968, 47012, 49056, 51100, 53144, 55188, 57232, 59276, 61320, 63364, 65408, 67452, 69496, 71540, 73584, 75628, 77672, 79716, 81760, 83804, 85848, 87892, 89936, 91980, 94024, 96068, 98112

There is a total of 48 numbers (up to 100000) that are divisible by 2044.
The sum of these numbers is 2403744.
The arithmetic mean of these numbers is 50078.

How to find the numbers divisible by 2044?

Finding all the numbers that can be divided by 2044 is essentially the same as searching for the multiples of 2044: if a number N is a multiple of 2044, then 2044 is a divisor of N.

Indeed, if we assume that N is a multiple of 2044, this means there exists an integer k such that:

$k \times 2044 = N$

Conversely, the result of N divided by 2044 is this same integer k (without any remainder):

$k = \frac{N}{2044}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2044 (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 2044 less than 100000):

1 × 2044 = 2044
2 × 2044 = 4088
3 × 2044 = 6132
...
47 × 2044 = 96068
48 × 2044 = 98112