What are the numbers divisible by 1055?

1055, 2110, 3165, 4220, 5275, 6330, 7385, 8440, 9495, 10550, 11605, 12660, 13715, 14770, 15825, 16880, 17935, 18990, 20045, 21100, 22155, 23210, 24265, 25320, 26375, 27430, 28485, 29540, 30595, 31650, 32705, 33760, 34815, 35870, 36925, 37980, 39035, 40090, 41145, 42200, 43255, 44310, 45365, 46420, 47475, 48530, 49585, 50640, 51695, 52750, 53805, 54860, 55915, 56970, 58025, 59080, 60135, 61190, 62245, 63300, 64355, 65410, 66465, 67520, 68575, 69630, 70685, 71740, 72795, 73850, 74905, 75960, 77015, 78070, 79125, 80180, 81235, 82290, 83345, 84400, 85455, 86510, 87565, 88620, 89675, 90730, 91785, 92840, 93895, 94950, 96005, 97060, 98115, 99170

There is a total of 94 numbers (up to 100000) that are divisible by 1055.
The sum of these numbers is 4710575.
The arithmetic mean of these numbers is 50112.5.

How to find the numbers divisible by 1055?

Finding all the numbers that can be divided by 1055 is essentially the same as searching for the multiples of 1055: if a number N is a multiple of 1055, then 1055 is a divisor of N.

Indeed, if we assume that N is a multiple of 1055, this means there exists an integer k such that:

$k \times 1055 = N$

Conversely, the result of N divided by 1055 is this same integer k (without any remainder):

$k = \frac{N}{1055}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1055 (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 1055 less than 100000):

1 × 1055 = 1055
2 × 1055 = 2110
3 × 1055 = 3165
...
93 × 1055 = 98115
94 × 1055 = 99170