Syllable division derived from spelling — this word is not in the pronouncing dictionary, so no phonetic transcription is shown rather than a guessed one.
divergency is a noun meaning "an infinite series that has no limit". It carries 2 recorded senses.
an infinite series that has no limit
the act of moving away in different direction from a common point
“an angle is formed by the divergence of two straight lines”
Forms marked · are formed by the regular rule rather than recorded in the source data. English keeps a few hundred irregulars and the rest follow the pattern, so the rule is right far more often than not — but it is a rule, and the mark says so.
Definitions, synonyms and semantic relations for divergency come from Princeton University’s WordNet. Commonness is measured against a corpus of everyday English. Full sources and licences.