What are the numbers divisible by 504?

504, 1008, 1512, 2016, 2520, 3024, 3528, 4032, 4536, 5040, 5544, 6048, 6552, 7056, 7560, 8064, 8568, 9072, 9576, 10080, 10584, 11088, 11592, 12096, 12600, 13104, 13608, 14112, 14616, 15120, 15624, 16128, 16632, 17136, 17640, 18144, 18648, 19152, 19656, 20160, 20664, 21168, 21672, 22176, 22680, 23184, 23688, 24192, 24696, 25200, 25704, 26208, 26712, 27216, 27720, 28224, 28728, 29232, 29736, 30240, 30744, 31248, 31752, 32256, 32760, 33264, 33768, 34272, 34776, 35280, 35784, 36288, 36792, 37296, 37800, 38304, 38808, 39312, 39816, 40320, 40824, 41328, 41832, 42336, 42840, 43344, 43848, 44352, 44856, 45360, 45864, 46368, 46872, 47376, 47880, 48384, 48888, 49392, 49896, 50400, 50904, 51408, 51912, 52416, 52920, 53424, 53928, 54432, 54936, 55440, 55944, 56448, 56952, 57456, 57960, 58464, 58968, 59472, 59976, 60480, 60984, 61488, 61992, 62496, 63000, 63504, 64008, 64512, 65016, 65520, 66024, 66528, 67032, 67536, 68040, 68544, 69048, 69552, 70056, 70560, 71064, 71568, 72072, 72576, 73080, 73584, 74088, 74592, 75096, 75600, 76104, 76608, 77112, 77616, 78120, 78624, 79128, 79632, 80136, 80640, 81144, 81648, 82152, 82656, 83160, 83664, 84168, 84672, 85176, 85680, 86184, 86688, 87192, 87696, 88200, 88704, 89208, 89712, 90216, 90720, 91224, 91728, 92232, 92736, 93240, 93744, 94248, 94752, 95256, 95760, 96264, 96768, 97272, 97776, 98280, 98784, 99288, 99792

There is a total of 198 numbers (up to 100000) that are divisible by 504.
The sum of these numbers is 9929304.
The arithmetic mean of these numbers is 50148.

How to find the numbers divisible by 504?

Finding all the numbers that can be divided by 504 is essentially the same as searching for the multiples of 504: if a number N is a multiple of 504, then 504 is a divisor of N.

Indeed, if we assume that N is a multiple of 504, this means there exists an integer k such that:

$k \times 504 = N$

Conversely, the result of N divided by 504 is this same integer k (without any remainder):

$k = \frac{N}{504}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 504 (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 504 less than 100000):

1 × 504 = 504
2 × 504 = 1008
3 × 504 = 1512
...
197 × 504 = 99288
198 × 504 = 99792