What are the numbers divisible by 2066?

2066, 4132, 6198, 8264, 10330, 12396, 14462, 16528, 18594, 20660, 22726, 24792, 26858, 28924, 30990, 33056, 35122, 37188, 39254, 41320, 43386, 45452, 47518, 49584, 51650, 53716, 55782, 57848, 59914, 61980, 64046, 66112, 68178, 70244, 72310, 74376, 76442, 78508, 80574, 82640, 84706, 86772, 88838, 90904, 92970, 95036, 97102, 99168

There is a total of 48 numbers (up to 100000) that are divisible by 2066.
The sum of these numbers is 2429616.
The arithmetic mean of these numbers is 50617.

How to find the numbers divisible by 2066?

Finding all the numbers that can be divided by 2066 is essentially the same as searching for the multiples of 2066: if a number N is a multiple of 2066, then 2066 is a divisor of N.

Indeed, if we assume that N is a multiple of 2066, this means there exists an integer k such that:

$k \times 2066 = N$

Conversely, the result of N divided by 2066 is this same integer k (without any remainder):

$k = \frac{N}{2066}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 2066 (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 2066 less than 100000):

1 × 2066 = 2066
2 × 2066 = 4132
3 × 2066 = 6198
...
47 × 2066 = 97102
48 × 2066 = 99168