What are the numbers divisible by 2083?

2083, 4166, 6249, 8332, 10415, 12498, 14581, 16664, 18747, 20830, 22913, 24996, 27079, 29162, 31245, 33328, 35411, 37494, 39577, 41660, 43743, 45826, 47909, 49992, 52075, 54158, 56241, 58324, 60407, 62490, 64573, 66656, 68739, 70822, 72905, 74988, 77071, 79154, 81237, 83320, 85403, 87486, 89569, 91652, 93735, 95818, 97901, 99984

There is a total of 48 numbers (up to 100000) that are divisible by 2083.
The sum of these numbers is 2449608.
The arithmetic mean of these numbers is 51033.5.

How to find the numbers divisible by 2083?

Finding all the numbers that can be divided by 2083 is essentially the same as searching for the multiples of 2083: if a number N is a multiple of 2083, then 2083 is a divisor of N.

Indeed, if we assume that N is a multiple of 2083, this means there exists an integer k such that:

$k \times 2083 = N$

Conversely, the result of N divided by 2083 is this same integer k (without any remainder):

$k = \frac{N}{2083}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2083 (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 2083 less than 100000):

1 × 2083 = 2083
2 × 2083 = 4166
3 × 2083 = 6249
...
47 × 2083 = 97901
48 × 2083 = 99984