What are the numbers divisible by 565?

565, 1130, 1695, 2260, 2825, 3390, 3955, 4520, 5085, 5650, 6215, 6780, 7345, 7910, 8475, 9040, 9605, 10170, 10735, 11300, 11865, 12430, 12995, 13560, 14125, 14690, 15255, 15820, 16385, 16950, 17515, 18080, 18645, 19210, 19775, 20340, 20905, 21470, 22035, 22600, 23165, 23730, 24295, 24860, 25425, 25990, 26555, 27120, 27685, 28250, 28815, 29380, 29945, 30510, 31075, 31640, 32205, 32770, 33335, 33900, 34465, 35030, 35595, 36160, 36725, 37290, 37855, 38420, 38985, 39550, 40115, 40680, 41245, 41810, 42375, 42940, 43505, 44070, 44635, 45200, 45765, 46330, 46895, 47460, 48025, 48590, 49155, 49720, 50285, 50850, 51415, 51980, 52545, 53110, 53675, 54240, 54805, 55370, 55935, 56500, 57065, 57630, 58195, 58760, 59325, 59890, 60455, 61020, 61585, 62150, 62715, 63280, 63845, 64410, 64975, 65540, 66105, 66670, 67235, 67800, 68365, 68930, 69495, 70060, 70625, 71190, 71755, 72320, 72885, 73450, 74015, 74580, 75145, 75710, 76275, 76840, 77405, 77970, 78535, 79100, 79665, 80230, 80795, 81360, 81925, 82490, 83055, 83620, 84185, 84750, 85315, 85880, 86445, 87010, 87575, 88140, 88705, 89270, 89835, 90400, 90965, 91530, 92095, 92660, 93225, 93790, 94355, 94920, 95485, 96050, 96615, 97180, 97745, 98310, 98875, 99440

There is a total of 176 numbers (up to 100000) that are divisible by 565.
The sum of these numbers is 8800440.
The arithmetic mean of these numbers is 50002.5.

How to find the numbers divisible by 565?

Finding all the numbers that can be divided by 565 is essentially the same as searching for the multiples of 565: if a number N is a multiple of 565, then 565 is a divisor of N.

Indeed, if we assume that N is a multiple of 565, this means there exists an integer k such that:

$k \times 565 = N$

Conversely, the result of N divided by 565 is this same integer k (without any remainder):

$k = \frac{N}{565}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 565 (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 565 less than 100000):

1 × 565 = 565
2 × 565 = 1130
3 × 565 = 1695
...
175 × 565 = 98875
176 × 565 = 99440