What is the maximum sum of divisors?

Question

Mathematics

There is a task:

Дано число n. Найдите число из диапазона от 1 до n с максимальной суммой своих делителей (включая непростые делители, 1 и само число). Если таких чисел несколько, выведите минимальное из них.
Пример: Вход 5 -> выход 4. Вход 12 -> выход 12

I can not understand one thing, what is the maximum sum of divisors?)

Answer 1

The divisor of the number A is the number B, when divided by which the number A is an integer. And A can have many divisors.
The number 8 has divisors - 1, 2, 4, 8. Their sum is 15.
The number 9 has divisors - 1, 3, 9. Their sum is 13.
The sum of the divisors of 8 is greater