What are the numbers divisible by 972?

972, 1944, 2916, 3888, 4860, 5832, 6804, 7776, 8748, 9720, 10692, 11664, 12636, 13608, 14580, 15552, 16524, 17496, 18468, 19440, 20412, 21384, 22356, 23328, 24300, 25272, 26244, 27216, 28188, 29160, 30132, 31104, 32076, 33048, 34020, 34992, 35964, 36936, 37908, 38880, 39852, 40824, 41796, 42768, 43740, 44712, 45684, 46656, 47628, 48600, 49572, 50544, 51516, 52488, 53460, 54432, 55404, 56376, 57348, 58320, 59292, 60264, 61236, 62208, 63180, 64152, 65124, 66096, 67068, 68040, 69012, 69984, 70956, 71928, 72900, 73872, 74844, 75816, 76788, 77760, 78732, 79704, 80676, 81648, 82620, 83592, 84564, 85536, 86508, 87480, 88452, 89424, 90396, 91368, 92340, 93312, 94284, 95256, 96228, 97200, 98172, 99144

There is a total of 102 numbers (up to 100000) that are divisible by 972.
The sum of these numbers is 5105916.
The arithmetic mean of these numbers is 50058.

How to find the numbers divisible by 972?

Finding all the numbers that can be divided by 972 is essentially the same as searching for the multiples of 972: if a number N is a multiple of 972, then 972 is a divisor of N.

Indeed, if we assume that N is a multiple of 972, this means there exists an integer k such that:

$k \times 972 = N$

Conversely, the result of N divided by 972 is this same integer k (without any remainder):

$k = \frac{N}{972}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 972 (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 972 less than 100000):

1 × 972 = 972
2 × 972 = 1944
3 × 972 = 2916
...
101 × 972 = 98172
102 × 972 = 99144