What are the numbers divisible by 1033?

1033, 2066, 3099, 4132, 5165, 6198, 7231, 8264, 9297, 10330, 11363, 12396, 13429, 14462, 15495, 16528, 17561, 18594, 19627, 20660, 21693, 22726, 23759, 24792, 25825, 26858, 27891, 28924, 29957, 30990, 32023, 33056, 34089, 35122, 36155, 37188, 38221, 39254, 40287, 41320, 42353, 43386, 44419, 45452, 46485, 47518, 48551, 49584, 50617, 51650, 52683, 53716, 54749, 55782, 56815, 57848, 58881, 59914, 60947, 61980, 63013, 64046, 65079, 66112, 67145, 68178, 69211, 70244, 71277, 72310, 73343, 74376, 75409, 76442, 77475, 78508, 79541, 80574, 81607, 82640, 83673, 84706, 85739, 86772, 87805, 88838, 89871, 90904, 91937, 92970, 94003, 95036, 96069, 97102, 98135, 99168

There is a total of 96 numbers (up to 100000) that are divisible by 1033.
The sum of these numbers is 4809648.
The arithmetic mean of these numbers is 50100.5.

How to find the numbers divisible by 1033?

Finding all the numbers that can be divided by 1033 is essentially the same as searching for the multiples of 1033: if a number N is a multiple of 1033, then 1033 is a divisor of N.

Indeed, if we assume that N is a multiple of 1033, this means there exists an integer k such that:

$k \times 1033 = N$

Conversely, the result of N divided by 1033 is this same integer k (without any remainder):

$k = \frac{N}{1033}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1033 (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 1033 less than 100000):

1 × 1033 = 1033
2 × 1033 = 2066
3 × 1033 = 3099
...
95 × 1033 = 98135
96 × 1033 = 99168