What are the numbers divisible by 1054?

1054, 2108, 3162, 4216, 5270, 6324, 7378, 8432, 9486, 10540, 11594, 12648, 13702, 14756, 15810, 16864, 17918, 18972, 20026, 21080, 22134, 23188, 24242, 25296, 26350, 27404, 28458, 29512, 30566, 31620, 32674, 33728, 34782, 35836, 36890, 37944, 38998, 40052, 41106, 42160, 43214, 44268, 45322, 46376, 47430, 48484, 49538, 50592, 51646, 52700, 53754, 54808, 55862, 56916, 57970, 59024, 60078, 61132, 62186, 63240, 64294, 65348, 66402, 67456, 68510, 69564, 70618, 71672, 72726, 73780, 74834, 75888, 76942, 77996, 79050, 80104, 81158, 82212, 83266, 84320, 85374, 86428, 87482, 88536, 89590, 90644, 91698, 92752, 93806, 94860, 95914, 96968, 98022, 99076

There is a total of 94 numbers (up to 100000) that are divisible by 1054.
The sum of these numbers is 4706110.
The arithmetic mean of these numbers is 50065.

How to find the numbers divisible by 1054?

Finding all the numbers that can be divided by 1054 is essentially the same as searching for the multiples of 1054: if a number N is a multiple of 1054, then 1054 is a divisor of N.

Indeed, if we assume that N is a multiple of 1054, this means there exists an integer k such that:

$k \times 1054 = N$

Conversely, the result of N divided by 1054 is this same integer k (without any remainder):

$k = \frac{N}{1054}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1054 (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 1054 less than 100000):

1 × 1054 = 1054
2 × 1054 = 2108
3 × 1054 = 3162
...
93 × 1054 = 98022
94 × 1054 = 99076