mid-14c., of things, "whole, intact," from Old French entier "whole, unbroken, intact, complete," from Latin integrum "completeness" (nominative integer; see integer). Related: Entireness.
late 14c. (mid-14c. in Anglo-French; mid-12c. as a surname), "one who weaves and/or sells cloth," from Anglo-French draper, Old French drapier (13c.) "draper, clothes-seller, clothes-maker," agent noun from drap "cloth" (see drape (v.)).
"strong, untwilled linen (later cotton) fabric," used for sails and sailors' clothing, 1630s, from Dutch doeck "linen cloth" (Middle Dutch doec), from Proto-Germanic *dōkaz, a word of uncertain etymology (source also of German Tuch "piece of cloth," Danish dug, Old Frisian dok, Old High German tuoh).
"a whole number" (as opposed to a fraction), 1570s, from noun use of Latin integer (adj.) "intact, whole, complete," figuratively, "untainted, upright," literally "untouched," from in- "not" (see in- (1)) + root of tangere "to touch" (from PIE root *tag- "to touch, handle"). The word was used earlier in English as an adjective in the Latin sense, "whole, entire" (c. 1500).