What are the numbers divisible by 1056?

1056, 2112, 3168, 4224, 5280, 6336, 7392, 8448, 9504, 10560, 11616, 12672, 13728, 14784, 15840, 16896, 17952, 19008, 20064, 21120, 22176, 23232, 24288, 25344, 26400, 27456, 28512, 29568, 30624, 31680, 32736, 33792, 34848, 35904, 36960, 38016, 39072, 40128, 41184, 42240, 43296, 44352, 45408, 46464, 47520, 48576, 49632, 50688, 51744, 52800, 53856, 54912, 55968, 57024, 58080, 59136, 60192, 61248, 62304, 63360, 64416, 65472, 66528, 67584, 68640, 69696, 70752, 71808, 72864, 73920, 74976, 76032, 77088, 78144, 79200, 80256, 81312, 82368, 83424, 84480, 85536, 86592, 87648, 88704, 89760, 90816, 91872, 92928, 93984, 95040, 96096, 97152, 98208, 99264

There is a total of 94 numbers (up to 100000) that are divisible by 1056.
The sum of these numbers is 4715040.
The arithmetic mean of these numbers is 50160.

How to find the numbers divisible by 1056?

Finding all the numbers that can be divided by 1056 is essentially the same as searching for the multiples of 1056: if a number N is a multiple of 1056, then 1056 is a divisor of N.

Indeed, if we assume that N is a multiple of 1056, this means there exists an integer k such that:

$k \times 1056 = N$

Conversely, the result of N divided by 1056 is this same integer k (without any remainder):

$k = \frac{N}{1056}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1056 (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 1056 less than 100000):

1 × 1056 = 1056
2 × 1056 = 2112
3 × 1056 = 3168
...
93 × 1056 = 98208
94 × 1056 = 99264