What are the numbers divisible by 1063?

1063, 2126, 3189, 4252, 5315, 6378, 7441, 8504, 9567, 10630, 11693, 12756, 13819, 14882, 15945, 17008, 18071, 19134, 20197, 21260, 22323, 23386, 24449, 25512, 26575, 27638, 28701, 29764, 30827, 31890, 32953, 34016, 35079, 36142, 37205, 38268, 39331, 40394, 41457, 42520, 43583, 44646, 45709, 46772, 47835, 48898, 49961, 51024, 52087, 53150, 54213, 55276, 56339, 57402, 58465, 59528, 60591, 61654, 62717, 63780, 64843, 65906, 66969, 68032, 69095, 70158, 71221, 72284, 73347, 74410, 75473, 76536, 77599, 78662, 79725, 80788, 81851, 82914, 83977, 85040, 86103, 87166, 88229, 89292, 90355, 91418, 92481, 93544, 94607, 95670, 96733, 97796, 98859, 99922

There is a total of 94 numbers (up to 100000) that are divisible by 1063.
The sum of these numbers is 4746295.
The arithmetic mean of these numbers is 50492.5.

How to find the numbers divisible by 1063?

Finding all the numbers that can be divided by 1063 is essentially the same as searching for the multiples of 1063: if a number N is a multiple of 1063, then 1063 is a divisor of N.

Indeed, if we assume that N is a multiple of 1063, this means there exists an integer k such that:

$k \times 1063 = N$

Conversely, the result of N divided by 1063 is this same integer k (without any remainder):

$k = \frac{N}{1063}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1063 (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 1063 less than 100000):

1 × 1063 = 1063
2 × 1063 = 2126
3 × 1063 = 3189
...
93 × 1063 = 98859
94 × 1063 = 99922