What are the numbers divisible by 505?

505, 1010, 1515, 2020, 2525, 3030, 3535, 4040, 4545, 5050, 5555, 6060, 6565, 7070, 7575, 8080, 8585, 9090, 9595, 10100, 10605, 11110, 11615, 12120, 12625, 13130, 13635, 14140, 14645, 15150, 15655, 16160, 16665, 17170, 17675, 18180, 18685, 19190, 19695, 20200, 20705, 21210, 21715, 22220, 22725, 23230, 23735, 24240, 24745, 25250, 25755, 26260, 26765, 27270, 27775, 28280, 28785, 29290, 29795, 30300, 30805, 31310, 31815, 32320, 32825, 33330, 33835, 34340, 34845, 35350, 35855, 36360, 36865, 37370, 37875, 38380, 38885, 39390, 39895, 40400, 40905, 41410, 41915, 42420, 42925, 43430, 43935, 44440, 44945, 45450, 45955, 46460, 46965, 47470, 47975, 48480, 48985, 49490, 49995, 50500, 51005, 51510, 52015, 52520, 53025, 53530, 54035, 54540, 55045, 55550, 56055, 56560, 57065, 57570, 58075, 58580, 59085, 59590, 60095, 60600, 61105, 61610, 62115, 62620, 63125, 63630, 64135, 64640, 65145, 65650, 66155, 66660, 67165, 67670, 68175, 68680, 69185, 69690, 70195, 70700, 71205, 71710, 72215, 72720, 73225, 73730, 74235, 74740, 75245, 75750, 76255, 76760, 77265, 77770, 78275, 78780, 79285, 79790, 80295, 80800, 81305, 81810, 82315, 82820, 83325, 83830, 84335, 84840, 85345, 85850, 86355, 86860, 87365, 87870, 88375, 88880, 89385, 89890, 90395, 90900, 91405, 91910, 92415, 92920, 93425, 93930, 94435, 94940, 95445, 95950, 96455, 96960, 97465, 97970, 98475, 98980, 99485, 99990

There is a total of 198 numbers (up to 100000) that are divisible by 505.
The sum of these numbers is 9949005.
The arithmetic mean of these numbers is 50247.5.

How to find the numbers divisible by 505?

Finding all the numbers that can be divided by 505 is essentially the same as searching for the multiples of 505: if a number N is a multiple of 505, then 505 is a divisor of N.

Indeed, if we assume that N is a multiple of 505, this means there exists an integer k such that:

$k \times 505 = N$

Conversely, the result of N divided by 505 is this same integer k (without any remainder):

$k = \frac{N}{505}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 505 (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 505 less than 100000):

1 × 505 = 505
2 × 505 = 1010
3 × 505 = 1515
...
197 × 505 = 99485
198 × 505 = 99990