What are the numbers divisible by 1043?

1043, 2086, 3129, 4172, 5215, 6258, 7301, 8344, 9387, 10430, 11473, 12516, 13559, 14602, 15645, 16688, 17731, 18774, 19817, 20860, 21903, 22946, 23989, 25032, 26075, 27118, 28161, 29204, 30247, 31290, 32333, 33376, 34419, 35462, 36505, 37548, 38591, 39634, 40677, 41720, 42763, 43806, 44849, 45892, 46935, 47978, 49021, 50064, 51107, 52150, 53193, 54236, 55279, 56322, 57365, 58408, 59451, 60494, 61537, 62580, 63623, 64666, 65709, 66752, 67795, 68838, 69881, 70924, 71967, 73010, 74053, 75096, 76139, 77182, 78225, 79268, 80311, 81354, 82397, 83440, 84483, 85526, 86569, 87612, 88655, 89698, 90741, 91784, 92827, 93870, 94913, 95956, 96999, 98042, 99085

There is a total of 95 numbers (up to 100000) that are divisible by 1043.
The sum of these numbers is 4756080.
The arithmetic mean of these numbers is 50064.

How to find the numbers divisible by 1043?

Finding all the numbers that can be divided by 1043 is essentially the same as searching for the multiples of 1043: if a number N is a multiple of 1043, then 1043 is a divisor of N.

Indeed, if we assume that N is a multiple of 1043, this means there exists an integer k such that:

$k \times 1043 = N$

Conversely, the result of N divided by 1043 is this same integer k (without any remainder):

$k = \frac{N}{1043}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1043 (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 1043 less than 100000):

1 × 1043 = 1043
2 × 1043 = 2086
3 × 1043 = 3129
...
94 × 1043 = 98042
95 × 1043 = 99085