What are the numbers divisible by 2053?

2053, 4106, 6159, 8212, 10265, 12318, 14371, 16424, 18477, 20530, 22583, 24636, 26689, 28742, 30795, 32848, 34901, 36954, 39007, 41060, 43113, 45166, 47219, 49272, 51325, 53378, 55431, 57484, 59537, 61590, 63643, 65696, 67749, 69802, 71855, 73908, 75961, 78014, 80067, 82120, 84173, 86226, 88279, 90332, 92385, 94438, 96491, 98544

There is a total of 48 numbers (up to 100000) that are divisible by 2053.
The sum of these numbers is 2414328.
The arithmetic mean of these numbers is 50298.5.

How to find the numbers divisible by 2053?

Finding all the numbers that can be divided by 2053 is essentially the same as searching for the multiples of 2053: if a number N is a multiple of 2053, then 2053 is a divisor of N.

Indeed, if we assume that N is a multiple of 2053, this means there exists an integer k such that:

$k \times 2053 = N$

Conversely, the result of N divided by 2053 is this same integer k (without any remainder):

$k = \frac{N}{2053}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2053 (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 2053 less than 100000):

1 × 2053 = 2053
2 × 2053 = 4106
3 × 2053 = 6159
...
47 × 2053 = 96491
48 × 2053 = 98544