What are the numbers divisible by 388?

388, 776, 1164, 1552, 1940, 2328, 2716, 3104, 3492, 3880, 4268, 4656, 5044, 5432, 5820, 6208, 6596, 6984, 7372, 7760, 8148, 8536, 8924, 9312, 9700, 10088, 10476, 10864, 11252, 11640, 12028, 12416, 12804, 13192, 13580, 13968, 14356, 14744, 15132, 15520, 15908, 16296, 16684, 17072, 17460, 17848, 18236, 18624, 19012, 19400, 19788, 20176, 20564, 20952, 21340, 21728, 22116, 22504, 22892, 23280, 23668, 24056, 24444, 24832, 25220, 25608, 25996, 26384, 26772, 27160, 27548, 27936, 28324, 28712, 29100, 29488, 29876, 30264, 30652, 31040, 31428, 31816, 32204, 32592, 32980, 33368, 33756, 34144, 34532, 34920, 35308, 35696, 36084, 36472, 36860, 37248, 37636, 38024, 38412, 38800, 39188, 39576, 39964, 40352, 40740, 41128, 41516, 41904, 42292, 42680, 43068, 43456, 43844, 44232, 44620, 45008, 45396, 45784, 46172, 46560, 46948, 47336, 47724, 48112, 48500, 48888, 49276, 49664, 50052, 50440, 50828, 51216, 51604, 51992, 52380, 52768, 53156, 53544, 53932, 54320, 54708, 55096, 55484, 55872, 56260, 56648, 57036, 57424, 57812, 58200, 58588, 58976, 59364, 59752, 60140, 60528, 60916, 61304, 61692, 62080, 62468, 62856, 63244, 63632, 64020, 64408, 64796, 65184, 65572, 65960, 66348, 66736, 67124, 67512, 67900, 68288, 68676, 69064, 69452, 69840, 70228, 70616, 71004, 71392, 71780, 72168, 72556, 72944, 73332, 73720, 74108, 74496, 74884, 75272, 75660, 76048, 76436, 76824, 77212, 77600, 77988, 78376, 78764, 79152, 79540, 79928, 80316, 80704, 81092, 81480, 81868, 82256, 82644, 83032, 83420, 83808, 84196, 84584, 84972, 85360, 85748, 86136, 86524, 86912, 87300, 87688, 88076, 88464, 88852, 89240, 89628, 90016, 90404, 90792, 91180, 91568, 91956, 92344, 92732, 93120, 93508, 93896, 94284, 94672, 95060, 95448, 95836, 96224, 96612, 97000, 97388, 97776, 98164, 98552, 98940, 99328, 99716

There is a total of 257 numbers (up to 100000) that are divisible by 388.
The sum of these numbers is 12863364.
The arithmetic mean of these numbers is 50052.

How to find the numbers divisible by 388?

Finding all the numbers that can be divided by 388 is essentially the same as searching for the multiples of 388: if a number N is a multiple of 388, then 388 is a divisor of N.

Indeed, if we assume that N is a multiple of 388, this means there exists an integer k such that:

$k \times 388 = N$

Conversely, the result of N divided by 388 is this same integer k (without any remainder):

$k = \frac{N}{388}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 388 (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 388 less than 100000):

1 × 388 = 388
2 × 388 = 776
3 × 388 = 1164
...
256 × 388 = 99328
257 × 388 = 99716