## Question 1
**(True or False)** 28 is a happy number.
### Options

1. True
Correct
$2^2 + 8^2 = 68$

$6^2 + 8^2 = 100$

$1^2 + 0^2 + 0^2 = 1$

The number has converged to $1$. Therefore, $28$ is a happy number.


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2. False
Incorrect

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## Question 2
**(True or False)** 4 is a happy number.
### Options

1. True
Incorrect

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2. False
Correct
$4^2 = 16$

$1^2 + 6^2 = 37$

$3^2 + 7^2 = 58$

$5^2 + 8^2 = 89$

$8^2 + 9^2 = 145$

$1^2 + 4^2 + 5^2 = 42$

$4^2 + 2^2 = 20$

$2^2 + 0^2 = 4$

We're stuck in an infinite loop. Therefore, $4$ is not a happy number.


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