What are the numbers divisible by 685?

685, 1370, 2055, 2740, 3425, 4110, 4795, 5480, 6165, 6850, 7535, 8220, 8905, 9590, 10275, 10960, 11645, 12330, 13015, 13700, 14385, 15070, 15755, 16440, 17125, 17810, 18495, 19180, 19865, 20550, 21235, 21920, 22605, 23290, 23975, 24660, 25345, 26030, 26715, 27400, 28085, 28770, 29455, 30140, 30825, 31510, 32195, 32880, 33565, 34250, 34935, 35620, 36305, 36990, 37675, 38360, 39045, 39730, 40415, 41100, 41785, 42470, 43155, 43840, 44525, 45210, 45895, 46580, 47265, 47950, 48635, 49320, 50005, 50690, 51375, 52060, 52745, 53430, 54115, 54800, 55485, 56170, 56855, 57540, 58225, 58910, 59595, 60280, 60965, 61650, 62335, 63020, 63705, 64390, 65075, 65760, 66445, 67130, 67815, 68500, 69185, 69870, 70555, 71240, 71925, 72610, 73295, 73980, 74665, 75350, 76035, 76720, 77405, 78090, 78775, 79460, 80145, 80830, 81515, 82200, 82885, 83570, 84255, 84940, 85625, 86310, 86995, 87680, 88365, 89050, 89735, 90420, 91105, 91790, 92475, 93160, 93845, 94530, 95215, 95900, 96585, 97270, 97955, 98640, 99325

There is a total of 145 numbers (up to 100000) that are divisible by 685.
The sum of these numbers is 7250725.
The arithmetic mean of these numbers is 50005.

How to find the numbers divisible by 685?

Finding all the numbers that can be divided by 685 is essentially the same as searching for the multiples of 685: if a number N is a multiple of 685, then 685 is a divisor of N.

Indeed, if we assume that N is a multiple of 685, this means there exists an integer k such that:

$k \times 685 = N$

Conversely, the result of N divided by 685 is this same integer k (without any remainder):

$k = \frac{N}{685}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 685 (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 685 less than 100000):

1 × 685 = 685
2 × 685 = 1370
3 × 685 = 2055
...
144 × 685 = 98640
145 × 685 = 99325