What are the numbers divisible by 1044?

1044, 2088, 3132, 4176, 5220, 6264, 7308, 8352, 9396, 10440, 11484, 12528, 13572, 14616, 15660, 16704, 17748, 18792, 19836, 20880, 21924, 22968, 24012, 25056, 26100, 27144, 28188, 29232, 30276, 31320, 32364, 33408, 34452, 35496, 36540, 37584, 38628, 39672, 40716, 41760, 42804, 43848, 44892, 45936, 46980, 48024, 49068, 50112, 51156, 52200, 53244, 54288, 55332, 56376, 57420, 58464, 59508, 60552, 61596, 62640, 63684, 64728, 65772, 66816, 67860, 68904, 69948, 70992, 72036, 73080, 74124, 75168, 76212, 77256, 78300, 79344, 80388, 81432, 82476, 83520, 84564, 85608, 86652, 87696, 88740, 89784, 90828, 91872, 92916, 93960, 95004, 96048, 97092, 98136, 99180

There is a total of 95 numbers (up to 100000) that are divisible by 1044.
The sum of these numbers is 4760640.
The arithmetic mean of these numbers is 50112.

How to find the numbers divisible by 1044?

Finding all the numbers that can be divided by 1044 is essentially the same as searching for the multiples of 1044: if a number N is a multiple of 1044, then 1044 is a divisor of N.

Indeed, if we assume that N is a multiple of 1044, this means there exists an integer k such that:

$k \times 1044 = N$

Conversely, the result of N divided by 1044 is this same integer k (without any remainder):

$k = \frac{N}{1044}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1044 (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 1044 less than 100000):

1 × 1044 = 1044
2 × 1044 = 2088
3 × 1044 = 3132
...
94 × 1044 = 98136
95 × 1044 = 99180