What are the numbers divisible by 755?

755, 1510, 2265, 3020, 3775, 4530, 5285, 6040, 6795, 7550, 8305, 9060, 9815, 10570, 11325, 12080, 12835, 13590, 14345, 15100, 15855, 16610, 17365, 18120, 18875, 19630, 20385, 21140, 21895, 22650, 23405, 24160, 24915, 25670, 26425, 27180, 27935, 28690, 29445, 30200, 30955, 31710, 32465, 33220, 33975, 34730, 35485, 36240, 36995, 37750, 38505, 39260, 40015, 40770, 41525, 42280, 43035, 43790, 44545, 45300, 46055, 46810, 47565, 48320, 49075, 49830, 50585, 51340, 52095, 52850, 53605, 54360, 55115, 55870, 56625, 57380, 58135, 58890, 59645, 60400, 61155, 61910, 62665, 63420, 64175, 64930, 65685, 66440, 67195, 67950, 68705, 69460, 70215, 70970, 71725, 72480, 73235, 73990, 74745, 75500, 76255, 77010, 77765, 78520, 79275, 80030, 80785, 81540, 82295, 83050, 83805, 84560, 85315, 86070, 86825, 87580, 88335, 89090, 89845, 90600, 91355, 92110, 92865, 93620, 94375, 95130, 95885, 96640, 97395, 98150, 98905, 99660

There is a total of 132 numbers (up to 100000) that are divisible by 755.
The sum of these numbers is 6627390.
The arithmetic mean of these numbers is 50207.5.

How to find the numbers divisible by 755?

Finding all the numbers that can be divided by 755 is essentially the same as searching for the multiples of 755: if a number N is a multiple of 755, then 755 is a divisor of N.

Indeed, if we assume that N is a multiple of 755, this means there exists an integer k such that:

$k \times 755 = N$

Conversely, the result of N divided by 755 is this same integer k (without any remainder):

$k = \frac{N}{755}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 755 (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 755 less than 100000):

1 × 755 = 755
2 × 755 = 1510
3 × 755 = 2265
...
131 × 755 = 98905
132 × 755 = 99660