What are the numbers divisible by 995?

995, 1990, 2985, 3980, 4975, 5970, 6965, 7960, 8955, 9950, 10945, 11940, 12935, 13930, 14925, 15920, 16915, 17910, 18905, 19900, 20895, 21890, 22885, 23880, 24875, 25870, 26865, 27860, 28855, 29850, 30845, 31840, 32835, 33830, 34825, 35820, 36815, 37810, 38805, 39800, 40795, 41790, 42785, 43780, 44775, 45770, 46765, 47760, 48755, 49750, 50745, 51740, 52735, 53730, 54725, 55720, 56715, 57710, 58705, 59700, 60695, 61690, 62685, 63680, 64675, 65670, 66665, 67660, 68655, 69650, 70645, 71640, 72635, 73630, 74625, 75620, 76615, 77610, 78605, 79600, 80595, 81590, 82585, 83580, 84575, 85570, 86565, 87560, 88555, 89550, 90545, 91540, 92535, 93530, 94525, 95520, 96515, 97510, 98505, 99500

There is a total of 100 numbers (up to 100000) that are divisible by 995.
The sum of these numbers is 5024750.
The arithmetic mean of these numbers is 50247.5.

How to find the numbers divisible by 995?

Finding all the numbers that can be divided by 995 is essentially the same as searching for the multiples of 995: if a number N is a multiple of 995, then 995 is a divisor of N.

Indeed, if we assume that N is a multiple of 995, this means there exists an integer k such that:

$k \times 995 = N$

Conversely, the result of N divided by 995 is this same integer k (without any remainder):

$k = \frac{N}{995}$

From this we can see that, theoretically, there's an infinite quantity of multiples of 995 (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 995 less than 100000):

1 × 995 = 995
2 × 995 = 1990
3 × 995 = 2985
...
99 × 995 = 98505
100 × 995 = 99500