What are the numbers divisible by 1066?

1066, 2132, 3198, 4264, 5330, 6396, 7462, 8528, 9594, 10660, 11726, 12792, 13858, 14924, 15990, 17056, 18122, 19188, 20254, 21320, 22386, 23452, 24518, 25584, 26650, 27716, 28782, 29848, 30914, 31980, 33046, 34112, 35178, 36244, 37310, 38376, 39442, 40508, 41574, 42640, 43706, 44772, 45838, 46904, 47970, 49036, 50102, 51168, 52234, 53300, 54366, 55432, 56498, 57564, 58630, 59696, 60762, 61828, 62894, 63960, 65026, 66092, 67158, 68224, 69290, 70356, 71422, 72488, 73554, 74620, 75686, 76752, 77818, 78884, 79950, 81016, 82082, 83148, 84214, 85280, 86346, 87412, 88478, 89544, 90610, 91676, 92742, 93808, 94874, 95940, 97006, 98072, 99138

There is a total of 93 numbers (up to 100000) that are divisible by 1066.
The sum of these numbers is 4659486.
The arithmetic mean of these numbers is 50102.

How to find the numbers divisible by 1066?

Finding all the numbers that can be divided by 1066 is essentially the same as searching for the multiples of 1066: if a number N is a multiple of 1066, then 1066 is a divisor of N.

Indeed, if we assume that N is a multiple of 1066, this means there exists an integer k such that:

$k \times 1066 = N$

Conversely, the result of N divided by 1066 is this same integer k (without any remainder):

$k = \frac{N}{1066}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1066 (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 1066 less than 100000):

1 × 1066 = 1066
2 × 1066 = 2132
3 × 1066 = 3198
...
92 × 1066 = 98072
93 × 1066 = 99138