What are the numbers divisible by 741?

741, 1482, 2223, 2964, 3705, 4446, 5187, 5928, 6669, 7410, 8151, 8892, 9633, 10374, 11115, 11856, 12597, 13338, 14079, 14820, 15561, 16302, 17043, 17784, 18525, 19266, 20007, 20748, 21489, 22230, 22971, 23712, 24453, 25194, 25935, 26676, 27417, 28158, 28899, 29640, 30381, 31122, 31863, 32604, 33345, 34086, 34827, 35568, 36309, 37050, 37791, 38532, 39273, 40014, 40755, 41496, 42237, 42978, 43719, 44460, 45201, 45942, 46683, 47424, 48165, 48906, 49647, 50388, 51129, 51870, 52611, 53352, 54093, 54834, 55575, 56316, 57057, 57798, 58539, 59280, 60021, 60762, 61503, 62244, 62985, 63726, 64467, 65208, 65949, 66690, 67431, 68172, 68913, 69654, 70395, 71136, 71877, 72618, 73359, 74100, 74841, 75582, 76323, 77064, 77805, 78546, 79287, 80028, 80769, 81510, 82251, 82992, 83733, 84474, 85215, 85956, 86697, 87438, 88179, 88920, 89661, 90402, 91143, 91884, 92625, 93366, 94107, 94848, 95589, 96330, 97071, 97812, 98553, 99294

There is a total of 134 numbers (up to 100000) that are divisible by 741.
The sum of these numbers is 6702345.
The arithmetic mean of these numbers is 50017.5.

How to find the numbers divisible by 741?

Finding all the numbers that can be divided by 741 is essentially the same as searching for the multiples of 741: if a number N is a multiple of 741, then 741 is a divisor of N.

Indeed, if we assume that N is a multiple of 741, this means there exists an integer k such that:

$k \times 741 = N$

Conversely, the result of N divided by 741 is this same integer k (without any remainder):

$k = \frac{N}{741}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 741 (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 741 less than 100000):

1 × 741 = 741
2 × 741 = 1482
3 × 741 = 2223
...
133 × 741 = 98553
134 × 741 = 99294