What are the numbers divisible by 1022?

1022, 2044, 3066, 4088, 5110, 6132, 7154, 8176, 9198, 10220, 11242, 12264, 13286, 14308, 15330, 16352, 17374, 18396, 19418, 20440, 21462, 22484, 23506, 24528, 25550, 26572, 27594, 28616, 29638, 30660, 31682, 32704, 33726, 34748, 35770, 36792, 37814, 38836, 39858, 40880, 41902, 42924, 43946, 44968, 45990, 47012, 48034, 49056, 50078, 51100, 52122, 53144, 54166, 55188, 56210, 57232, 58254, 59276, 60298, 61320, 62342, 63364, 64386, 65408, 66430, 67452, 68474, 69496, 70518, 71540, 72562, 73584, 74606, 75628, 76650, 77672, 78694, 79716, 80738, 81760, 82782, 83804, 84826, 85848, 86870, 87892, 88914, 89936, 90958, 91980, 93002, 94024, 95046, 96068, 97090, 98112, 99134

There is a total of 97 numbers (up to 100000) that are divisible by 1022.
The sum of these numbers is 4857566.
The arithmetic mean of these numbers is 50078.

How to find the numbers divisible by 1022?

Finding all the numbers that can be divided by 1022 is essentially the same as searching for the multiples of 1022: if a number N is a multiple of 1022, then 1022 is a divisor of N.

Indeed, if we assume that N is a multiple of 1022, this means there exists an integer k such that:

$k \times 1022 = N$

Conversely, the result of N divided by 1022 is this same integer k (without any remainder):

$k = \frac{N}{1022}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1022 (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 1022 less than 100000):

1 × 1022 = 1022
2 × 1022 = 2044
3 × 1022 = 3066
...
96 × 1022 = 98112
97 × 1022 = 99134