Assuming a stable population, if some males are fathering dozens of offspring, the bulk of males are probably fathering zero. Are those males still part of soc

Assuming a stable population, if some males are fathering dozens of offspring, the bulk of males are probably fathering zero. Are those males still part of society or are then shunned/killed? What does the life of a not-dominant male look like? One who isn't the king's favorite?