A natural number n is said to be good if n is the sum of r...

All odd numbers are good because, $2 K+1=K⁺(K+1)$ All even numbers which have an odd factor greater than 1 are also good because, $$\begin{array}{r} 2^n \cdot(2 K+1)=K⁺\underbrace{(K \pm 1)+(K \pm 2)+\ldots+\left(K \pm\left(2^n-1\right)\right)}_{\left(2^n-1\right) \text { terms }} \\ +\left(K+2^n\right) \end{array}$$ So, only $2^n$ are the numbers which are not good. Numbers which are not good are $2^0, 2^1, 2^2, 2^3, 2^4$, $2^5$ and $2^6$. Remaining 93 numbers are all good.