What are the numbers divisible by 508?

508, 1016, 1524, 2032, 2540, 3048, 3556, 4064, 4572, 5080, 5588, 6096, 6604, 7112, 7620, 8128, 8636, 9144, 9652, 10160, 10668, 11176, 11684, 12192, 12700, 13208, 13716, 14224, 14732, 15240, 15748, 16256, 16764, 17272, 17780, 18288, 18796, 19304, 19812, 20320, 20828, 21336, 21844, 22352, 22860, 23368, 23876, 24384, 24892, 25400, 25908, 26416, 26924, 27432, 27940, 28448, 28956, 29464, 29972, 30480, 30988, 31496, 32004, 32512, 33020, 33528, 34036, 34544, 35052, 35560, 36068, 36576, 37084, 37592, 38100, 38608, 39116, 39624, 40132, 40640, 41148, 41656, 42164, 42672, 43180, 43688, 44196, 44704, 45212, 45720, 46228, 46736, 47244, 47752, 48260, 48768, 49276, 49784, 50292, 50800, 51308, 51816, 52324, 52832, 53340, 53848, 54356, 54864, 55372, 55880, 56388, 56896, 57404, 57912, 58420, 58928, 59436, 59944, 60452, 60960, 61468, 61976, 62484, 62992, 63500, 64008, 64516, 65024, 65532, 66040, 66548, 67056, 67564, 68072, 68580, 69088, 69596, 70104, 70612, 71120, 71628, 72136, 72644, 73152, 73660, 74168, 74676, 75184, 75692, 76200, 76708, 77216, 77724, 78232, 78740, 79248, 79756, 80264, 80772, 81280, 81788, 82296, 82804, 83312, 83820, 84328, 84836, 85344, 85852, 86360, 86868, 87376, 87884, 88392, 88900, 89408, 89916, 90424, 90932, 91440, 91948, 92456, 92964, 93472, 93980, 94488, 94996, 95504, 96012, 96520, 97028, 97536, 98044, 98552, 99060, 99568

There is a total of 196 numbers (up to 100000) that are divisible by 508.
The sum of these numbers is 9807448.
The arithmetic mean of these numbers is 50038.

How to find the numbers divisible by 508?

Finding all the numbers that can be divided by 508 is essentially the same as searching for the multiples of 508: if a number N is a multiple of 508, then 508 is a divisor of N.

Indeed, if we assume that N is a multiple of 508, this means there exists an integer k such that:

$k \times 508 = N$

Conversely, the result of N divided by 508 is this same integer k (without any remainder):

$k = \frac{N}{508}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 508 (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 508 less than 100000):

1 × 508 = 508
2 × 508 = 1016
3 × 508 = 1524
...
195 × 508 = 99060
196 × 508 = 99568