What are the numbers divisible by 695?

695, 1390, 2085, 2780, 3475, 4170, 4865, 5560, 6255, 6950, 7645, 8340, 9035, 9730, 10425, 11120, 11815, 12510, 13205, 13900, 14595, 15290, 15985, 16680, 17375, 18070, 18765, 19460, 20155, 20850, 21545, 22240, 22935, 23630, 24325, 25020, 25715, 26410, 27105, 27800, 28495, 29190, 29885, 30580, 31275, 31970, 32665, 33360, 34055, 34750, 35445, 36140, 36835, 37530, 38225, 38920, 39615, 40310, 41005, 41700, 42395, 43090, 43785, 44480, 45175, 45870, 46565, 47260, 47955, 48650, 49345, 50040, 50735, 51430, 52125, 52820, 53515, 54210, 54905, 55600, 56295, 56990, 57685, 58380, 59075, 59770, 60465, 61160, 61855, 62550, 63245, 63940, 64635, 65330, 66025, 66720, 67415, 68110, 68805, 69500, 70195, 70890, 71585, 72280, 72975, 73670, 74365, 75060, 75755, 76450, 77145, 77840, 78535, 79230, 79925, 80620, 81315, 82010, 82705, 83400, 84095, 84790, 85485, 86180, 86875, 87570, 88265, 88960, 89655, 90350, 91045, 91740, 92435, 93130, 93825, 94520, 95215, 95910, 96605, 97300, 97995, 98690, 99385

There is a total of 143 numbers (up to 100000) that are divisible by 695.
The sum of these numbers is 7155720.
The arithmetic mean of these numbers is 50040.

How to find the numbers divisible by 695?

Finding all the numbers that can be divided by 695 is essentially the same as searching for the multiples of 695: if a number N is a multiple of 695, then 695 is a divisor of N.

Indeed, if we assume that N is a multiple of 695, this means there exists an integer k such that:

$k \times 695 = N$

Conversely, the result of N divided by 695 is this same integer k (without any remainder):

$k = \frac{N}{695}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 695 (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 695 less than 100000):

1 × 695 = 695
2 × 695 = 1390
3 × 695 = 2085
...
142 × 695 = 98690
143 × 695 = 99385