divergency

1. The state of being divergent.
2. A divergence or deviation.

noun

1. The condition of being unlike or dissimilar: difference, discrepance, discrepancy, disparity, dissimilarity, dissimilitude, distinction, divarication, divergence, unlikeness. See same/different/compare.
2. A departing from what is prescribed: aberration, departure, deviation, divergence, diversion. See approach/retreat, correct/incorrect.
3. An instance of digressing: aside, deviation, digression, divagation, divergence, excursion, excursus, irrelevancy, parenthesis, tangent. See approach/retreat.
4. The condition of being divided, as in opinion: disunion, disunity, divergence, division, schism. See assemble/disassemble.

The noun has 2 meanings:

Meaning #1: an infinite series that has no limit
  Synonym: divergence
  Antonym: convergency (meaning #1)

Meaning #2: the act of moving away in different direction from a common point
  Synonym: divergence