Understanding Happy Numbers

The video tutorial explains the concept of happy numbers using the number 7 as an example. It begins by squaring the number 7 and then iteratively squaring the digits of the resulting numbers. This process continues until the number 1 is reached, indicating that 7 is a happy number. The tutorial concludes by explaining that a number is considered happy if it eventually leads to 1 through this iterative process.

What is the first step in determining if a number is happy?

• Subtract 1 from the number.

• Multiply the number by 2.

• Square the number.

• Add the digits of the number.

After squaring the number 7, what is the next step?

• Square each digit of the result.

• Subtract the smallest digit from the result.

• Add the digits of the result.

• Multiply the result by 2.

What is the result of squaring each digit of 49 and adding them together?

• 49

• 81

• 97

• 130

What is the significance of reaching the number 1 in this process?

• It confirms the number is a happy number.

• It shows the number is a prime number.

• It means the process should be repeated.

• It indicates the number is a sad number.

What happens if the process does not end in 1?

• The number is a prime number.

• The number is a composite number.

• The number is considered a happy number.

• The number is considered a sad number.

Why is the number 1 significant in the context of happy numbers?

• It is the first even number.

• It is the smallest prime number.

• It is the base of all natural numbers.

• It is the largest single-digit number.