What are the numbers divisible by 498?

498, 996, 1494, 1992, 2490, 2988, 3486, 3984, 4482, 4980, 5478, 5976, 6474, 6972, 7470, 7968, 8466, 8964, 9462, 9960, 10458, 10956, 11454, 11952, 12450, 12948, 13446, 13944, 14442, 14940, 15438, 15936, 16434, 16932, 17430, 17928, 18426, 18924, 19422, 19920, 20418, 20916, 21414, 21912, 22410, 22908, 23406, 23904, 24402, 24900, 25398, 25896, 26394, 26892, 27390, 27888, 28386, 28884, 29382, 29880, 30378, 30876, 31374, 31872, 32370, 32868, 33366, 33864, 34362, 34860, 35358, 35856, 36354, 36852, 37350, 37848, 38346, 38844, 39342, 39840, 40338, 40836, 41334, 41832, 42330, 42828, 43326, 43824, 44322, 44820, 45318, 45816, 46314, 46812, 47310, 47808, 48306, 48804, 49302, 49800, 50298, 50796, 51294, 51792, 52290, 52788, 53286, 53784, 54282, 54780, 55278, 55776, 56274, 56772, 57270, 57768, 58266, 58764, 59262, 59760, 60258, 60756, 61254, 61752, 62250, 62748, 63246, 63744, 64242, 64740, 65238, 65736, 66234, 66732, 67230, 67728, 68226, 68724, 69222, 69720, 70218, 70716, 71214, 71712, 72210, 72708, 73206, 73704, 74202, 74700, 75198, 75696, 76194, 76692, 77190, 77688, 78186, 78684, 79182, 79680, 80178, 80676, 81174, 81672, 82170, 82668, 83166, 83664, 84162, 84660, 85158, 85656, 86154, 86652, 87150, 87648, 88146, 88644, 89142, 89640, 90138, 90636, 91134, 91632, 92130, 92628, 93126, 93624, 94122, 94620, 95118, 95616, 96114, 96612, 97110, 97608, 98106, 98604, 99102, 99600

There is a total of 200 numbers (up to 100000) that are divisible by 498.
The sum of these numbers is 10009800.
The arithmetic mean of these numbers is 50049.

How to find the numbers divisible by 498?

Finding all the numbers that can be divided by 498 is essentially the same as searching for the multiples of 498: if a number N is a multiple of 498, then 498 is a divisor of N.

Indeed, if we assume that N is a multiple of 498, this means there exists an integer k such that:

$k \times 498 = N$

Conversely, the result of N divided by 498 is this same integer k (without any remainder):

$k = \frac{N}{498}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 498 (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 498 less than 100000):

1 × 498 = 498
2 × 498 = 996
3 × 498 = 1494
...
199 × 498 = 99102
200 × 498 = 99600