What are the numbers divisible by 775?

775, 1550, 2325, 3100, 3875, 4650, 5425, 6200, 6975, 7750, 8525, 9300, 10075, 10850, 11625, 12400, 13175, 13950, 14725, 15500, 16275, 17050, 17825, 18600, 19375, 20150, 20925, 21700, 22475, 23250, 24025, 24800, 25575, 26350, 27125, 27900, 28675, 29450, 30225, 31000, 31775, 32550, 33325, 34100, 34875, 35650, 36425, 37200, 37975, 38750, 39525, 40300, 41075, 41850, 42625, 43400, 44175, 44950, 45725, 46500, 47275, 48050, 48825, 49600, 50375, 51150, 51925, 52700, 53475, 54250, 55025, 55800, 56575, 57350, 58125, 58900, 59675, 60450, 61225, 62000, 62775, 63550, 64325, 65100, 65875, 66650, 67425, 68200, 68975, 69750, 70525, 71300, 72075, 72850, 73625, 74400, 75175, 75950, 76725, 77500, 78275, 79050, 79825, 80600, 81375, 82150, 82925, 83700, 84475, 85250, 86025, 86800, 87575, 88350, 89125, 89900, 90675, 91450, 92225, 93000, 93775, 94550, 95325, 96100, 96875, 97650, 98425, 99200, 99975

There is a total of 129 numbers (up to 100000) that are divisible by 775.
The sum of these numbers is 6498375.
The arithmetic mean of these numbers is 50375.

How to find the numbers divisible by 775?

Finding all the numbers that can be divided by 775 is essentially the same as searching for the multiples of 775: if a number N is a multiple of 775, then 775 is a divisor of N.

Indeed, if we assume that N is a multiple of 775, this means there exists an integer k such that:

$k \times 775 = N$

Conversely, the result of N divided by 775 is this same integer k (without any remainder):

$k = \frac{N}{775}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 775 (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 775 less than 100000):

1 × 775 = 775
2 × 775 = 1550
3 × 775 = 2325
...
128 × 775 = 99200
129 × 775 = 99975