What are the numbers divisible by 516?

516, 1032, 1548, 2064, 2580, 3096, 3612, 4128, 4644, 5160, 5676, 6192, 6708, 7224, 7740, 8256, 8772, 9288, 9804, 10320, 10836, 11352, 11868, 12384, 12900, 13416, 13932, 14448, 14964, 15480, 15996, 16512, 17028, 17544, 18060, 18576, 19092, 19608, 20124, 20640, 21156, 21672, 22188, 22704, 23220, 23736, 24252, 24768, 25284, 25800, 26316, 26832, 27348, 27864, 28380, 28896, 29412, 29928, 30444, 30960, 31476, 31992, 32508, 33024, 33540, 34056, 34572, 35088, 35604, 36120, 36636, 37152, 37668, 38184, 38700, 39216, 39732, 40248, 40764, 41280, 41796, 42312, 42828, 43344, 43860, 44376, 44892, 45408, 45924, 46440, 46956, 47472, 47988, 48504, 49020, 49536, 50052, 50568, 51084, 51600, 52116, 52632, 53148, 53664, 54180, 54696, 55212, 55728, 56244, 56760, 57276, 57792, 58308, 58824, 59340, 59856, 60372, 60888, 61404, 61920, 62436, 62952, 63468, 63984, 64500, 65016, 65532, 66048, 66564, 67080, 67596, 68112, 68628, 69144, 69660, 70176, 70692, 71208, 71724, 72240, 72756, 73272, 73788, 74304, 74820, 75336, 75852, 76368, 76884, 77400, 77916, 78432, 78948, 79464, 79980, 80496, 81012, 81528, 82044, 82560, 83076, 83592, 84108, 84624, 85140, 85656, 86172, 86688, 87204, 87720, 88236, 88752, 89268, 89784, 90300, 90816, 91332, 91848, 92364, 92880, 93396, 93912, 94428, 94944, 95460, 95976, 96492, 97008, 97524, 98040, 98556, 99072, 99588

There is a total of 193 numbers (up to 100000) that are divisible by 516.
The sum of these numbers is 9660036.
The arithmetic mean of these numbers is 50052.

How to find the numbers divisible by 516?

Finding all the numbers that can be divided by 516 is essentially the same as searching for the multiples of 516: if a number N is a multiple of 516, then 516 is a divisor of N.

Indeed, if we assume that N is a multiple of 516, this means there exists an integer k such that:

$k \times 516 = N$

Conversely, the result of N divided by 516 is this same integer k (without any remainder):

$k = \frac{N}{516}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 516 (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 516 less than 100000):

1 × 516 = 516
2 × 516 = 1032
3 × 516 = 1548
...
192 × 516 = 99072
193 × 516 = 99588