Hyperperfect number
Okay kiddo, let's talk about hyperperfect numbers! They are a type of number that is very special.
First, do you know what a perfect number is? It's a number that is equal to the sum of its factors (excluding itself). For example, 6 is a perfect number because its factors (excluding itself) are 1, 2, and 3, and if you add those up, you get 6!
Now, a hyperperfect number is even more special. It is a number that is not only equal to the sum of its factors (excluding itself), but it is also equal to the sum of all the numbers that can be made by multiplying those factors together.
Let me give you an example. The number 45 is a hyperperfect number. Its factors are 1, 3, 5, 9, 15, and 45. If you add those up, you get 78. And if you multiply the different combinations of these factors, you also get 78! For example, 3 * 5 * 9 = 135, and if you add up all the different combinations of these products, you get 78.
Hyperperfect numbers are pretty rare, but they have some really interesting properties. In fact, they can only be odd numbers that are not prime. Mathematicians are still trying to figure out more about these special numbers, but for now, just know that they are a really neat type of number!
First, do you know what a perfect number is? It's a number that is equal to the sum of its factors (excluding itself). For example, 6 is a perfect number because its factors (excluding itself) are 1, 2, and 3, and if you add those up, you get 6!
Now, a hyperperfect number is even more special. It is a number that is not only equal to the sum of its factors (excluding itself), but it is also equal to the sum of all the numbers that can be made by multiplying those factors together.
Let me give you an example. The number 45 is a hyperperfect number. Its factors are 1, 3, 5, 9, 15, and 45. If you add those up, you get 78. And if you multiply the different combinations of these factors, you also get 78! For example, 3 * 5 * 9 = 135, and if you add up all the different combinations of these products, you get 78.
Hyperperfect numbers are pretty rare, but they have some really interesting properties. In fact, they can only be odd numbers that are not prime. Mathematicians are still trying to figure out more about these special numbers, but for now, just know that they are a really neat type of number!