Andrew, Bob, Catherine, David and Emma are discussing about rational numbers and recurring decimals.

**Andrew:** Infinite decimals cannot be rational numbers.

**Bob:** Finite decimals and recurring decimals are all rational numbers.

**Catherine:** Natural numbers can always be expressed in the form of a recurring decimal, while there exists an integer that cannot be expressed in that form.

**David:** Some recurring decimals cannot be expressed in the form of a fraction having both of its numerator and denominator as rational numbers.

**Emma:** Fractions that have their denominator as a power of 10 must be rational numbers.

Andrew has number 1 on his shirt, Bob has number 2, Catherine has number 4, David has number 8 and Emma has number 16.

Add up all of the numbers on the shirts of the people whose statement is correct.

*Detail:*

- We don't consider expressions such as \(3.00000\cdots\) and \(67.00000\cdots\) as recurring decimals.

*This problem is a part of <Grade 8 - Number Theory> series.*

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