Are 220 and 284 amicable numbers?

Note: 220 and 284 are examples of amicable numbers. The factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, and 110, which sum to 284, while the factors of 284 are 1, 2, 4, 71, and 142, which sum to 220.

How do you solve amicable numbers?

Two numbers are said to be amicable if each number is the sum of the proper divisors of the other. A proper divisor of a number is any divisor of the number except the number itself. For example, the proper divisor of 12 are 1, 2, 3, 4, and 6.

Are 1184 and 1210 amicable numbers?

Now, proper divisors of number 1184 are 1, 2, 4, 8, 16, 32, 37, 74, 148, 269, 592 and similarly proper divisors of 1210 are 1, 2, 5, 10, 11, 22, 55, 110, 121, 242, 605. Hence, numbers 1184 and 1210 are amicable numbers. Note: A proper divisor of a number is a positive factor of that number other than the number itself.

Are 60 and 84 amicable numbers?

Amicable Numbers The Greeks considered the pair of numbers 220 and 284 to be amicable or friendly numbers because the sum of the proper divisors of one of the numbers is the other number. a. 60 and 84 are amicable numbers.

What is the relationship between 220 and 284?

The smallest pair of amicable numbers is (220, 284). They are amicable because the proper divisors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55 and 110, of which the sum is 284; and the proper divisors of 284 are 1, 2, 4, 71 and 142, of which the sum is 220.

Why did Ramanujan say 220 and 284?

When pressed how he expected his friend to be – he replied – like numbers 220 and 284! Ramanujam explained that an ideal friendship should be like these numbers- to complement each other – even when one is absent – the other should represent the friend!

How do you find amicable pairs?

Two numbers are amicable if the first is equal to the sum of divisors of the second, and if the second number is equal to the sum of divisors of the first.

What is amicable math?

In mathematics: Number theory. …“amicable numbers”: two numbers are amicable if each is equal to the sum of the proper divisors of the other (for example, 220 and 284).

What is amicable number example?

role in Iamblichus’ studies. …“amicable numbers”: two numbers are amicable if each is equal to the sum of the proper divisors of the other (for example, 220 and 284).