What are the numbers divisible by 752?

752, 1504, 2256, 3008, 3760, 4512, 5264, 6016, 6768, 7520, 8272, 9024, 9776, 10528, 11280, 12032, 12784, 13536, 14288, 15040, 15792, 16544, 17296, 18048, 18800, 19552, 20304, 21056, 21808, 22560, 23312, 24064, 24816, 25568, 26320, 27072, 27824, 28576, 29328, 30080, 30832, 31584, 32336, 33088, 33840, 34592, 35344, 36096, 36848, 37600, 38352, 39104, 39856, 40608, 41360, 42112, 42864, 43616, 44368, 45120, 45872, 46624, 47376, 48128, 48880, 49632, 50384, 51136, 51888, 52640, 53392, 54144, 54896, 55648, 56400, 57152, 57904, 58656, 59408, 60160, 60912, 61664, 62416, 63168, 63920, 64672, 65424, 66176, 66928, 67680, 68432, 69184, 69936, 70688, 71440, 72192, 72944, 73696, 74448, 75200, 75952, 76704, 77456, 78208, 78960, 79712, 80464, 81216, 81968, 82720, 83472, 84224, 84976, 85728, 86480, 87232, 87984, 88736, 89488, 90240, 90992, 91744, 92496, 93248, 94000, 94752, 95504, 96256, 97008, 97760, 98512, 99264

There is a total of 132 numbers (up to 100000) that are divisible by 752.
The sum of these numbers is 6601056.
The arithmetic mean of these numbers is 50008.

How to find the numbers divisible by 752?

Finding all the numbers that can be divided by 752 is essentially the same as searching for the multiples of 752: if a number N is a multiple of 752, then 752 is a divisor of N.

Indeed, if we assume that N is a multiple of 752, this means there exists an integer k such that:

$k \times 752 = N$

Conversely, the result of N divided by 752 is this same integer k (without any remainder):

$k = \frac{N}{752}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 752 (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 752 less than 100000):

1 × 752 = 752
2 × 752 = 1504
3 × 752 = 2256
...
131 × 752 = 98512
132 × 752 = 99264