What are the numbers divisible by 1062?

1062, 2124, 3186, 4248, 5310, 6372, 7434, 8496, 9558, 10620, 11682, 12744, 13806, 14868, 15930, 16992, 18054, 19116, 20178, 21240, 22302, 23364, 24426, 25488, 26550, 27612, 28674, 29736, 30798, 31860, 32922, 33984, 35046, 36108, 37170, 38232, 39294, 40356, 41418, 42480, 43542, 44604, 45666, 46728, 47790, 48852, 49914, 50976, 52038, 53100, 54162, 55224, 56286, 57348, 58410, 59472, 60534, 61596, 62658, 63720, 64782, 65844, 66906, 67968, 69030, 70092, 71154, 72216, 73278, 74340, 75402, 76464, 77526, 78588, 79650, 80712, 81774, 82836, 83898, 84960, 86022, 87084, 88146, 89208, 90270, 91332, 92394, 93456, 94518, 95580, 96642, 97704, 98766, 99828

There is a total of 94 numbers (up to 100000) that are divisible by 1062.
The sum of these numbers is 4741830.
The arithmetic mean of these numbers is 50445.

How to find the numbers divisible by 1062?

Finding all the numbers that can be divided by 1062 is essentially the same as searching for the multiples of 1062: if a number N is a multiple of 1062, then 1062 is a divisor of N.

Indeed, if we assume that N is a multiple of 1062, this means there exists an integer k such that:

$k \times 1062 = N$

Conversely, the result of N divided by 1062 is this same integer k (without any remainder):

$k = \frac{N}{1062}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 1062 (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 1062 less than 100000):

1 × 1062 = 1062
2 × 1062 = 2124
3 × 1062 = 3186
...
93 × 1062 = 98766
94 × 1062 = 99828