The quantity of heat $Q$ required to change the temperature of an object is $Q = mc\Delta T$. If $m$ is in $\text{kg}$, $c$ is in $\text{J/(kg} \cdot \text{K)}$, and $\Delta T$ is in $^\circ\text{C}$, what are the dimensions of the constant of proportionality if the result must be in $\text{calories}$?