A hegemon is a situation where one leader or state takes dominance over all other states with regard to military, economic and/or political power. Therefore, you would expect the most successful hegemon to be that which held sway over all three aspects of leadership or rule.
In ancient China the Han Dynasty has to be considered the most successful. for one thing, longevity. It ruled for 400 years. Folliwng the Qin dynasty that in its short period managed to unify the Chinese people, in the Han dynasty a most efficient tax system kept both bureaucratic and military elements stable and content as riches accumulated, partly due to the monopolies established on iron and salt. The growing riches allowed expanded exploration of trade and here we see the beginnings of the Silk route.
Chu, also known as Jing and as Jingchu was one of the most successful Hegemon during the Zhou period. It grew from a small state to a large kingdom. The state rose to a high level of power around 389 BC.
Chu began a series of administrative reforms and it became a successful expansionist and militaristic state that developed a reputation for coercing and absorbing its allies.
Chu consolidated its power by absorbing lesser states in its original area. It was a great warring states period power, until it was overthrown by the Qin in 223 BCE.