The discussion centers on the concept of chlorine's nucleon count being 35.5, which is not a whole number. This is attributed to the distinction between atomic mass and atomic weight. Atomic mass refers to the mass of a single atom, including its protons, neutrons, and electrons, while atomic weight is the average mass of all isotopes of an element, normalized to 1/12 of the mass of a carbon-12 atom. The conversation also touches on the specification of atomic mass being measured when an atom is motionless, noting that motion can affect mass due to relativistic effects. Additionally, atomic weight is described as a dimensionless quantity, meaning it has no associated units. The conclusion drawn is that the non-integer value of chlorine's nucleon count results from averaging the masses of its isotopes, which often leads to decimal values.