What are the numbers divisible by 1048?

1048, 2096, 3144, 4192, 5240, 6288, 7336, 8384, 9432, 10480, 11528, 12576, 13624, 14672, 15720, 16768, 17816, 18864, 19912, 20960, 22008, 23056, 24104, 25152, 26200, 27248, 28296, 29344, 30392, 31440, 32488, 33536, 34584, 35632, 36680, 37728, 38776, 39824, 40872, 41920, 42968, 44016, 45064, 46112, 47160, 48208, 49256, 50304, 51352, 52400, 53448, 54496, 55544, 56592, 57640, 58688, 59736, 60784, 61832, 62880, 63928, 64976, 66024, 67072, 68120, 69168, 70216, 71264, 72312, 73360, 74408, 75456, 76504, 77552, 78600, 79648, 80696, 81744, 82792, 83840, 84888, 85936, 86984, 88032, 89080, 90128, 91176, 92224, 93272, 94320, 95368, 96416, 97464, 98512, 99560

There is a total of 95 numbers (up to 100000) that are divisible by 1048.
The sum of these numbers is 4778880.
The arithmetic mean of these numbers is 50304.

How to find the numbers divisible by 1048?

Finding all the numbers that can be divided by 1048 is essentially the same as searching for the multiples of 1048: if a number N is a multiple of 1048, then 1048 is a divisor of N.

Indeed, if we assume that N is a multiple of 1048, this means there exists an integer k such that:

$k \times 1048 = N$

Conversely, the result of N divided by 1048 is this same integer k (without any remainder):

$k = \frac{N}{1048}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1048 (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 1048 less than 100000):

1 × 1048 = 1048
2 × 1048 = 2096
3 × 1048 = 3144
...
94 × 1048 = 98512
95 × 1048 = 99560