"1592"^^ . . "40521"^^ . "abundantn\u00ED \u010D\u00EDslo"@cs . . . . . . "Abundantn\u00ED \u010D\u00EDslo (z latiny abundans \u2013 hojn\u00FD) je v matematice takov\u00E9 \u010D\u00EDslo, kter\u00E9 je men\u0161\u00ED ne\u017E sou\u010Det jeho vlastn\u00EDch d\u011Blitel\u016F krom\u011B sebe, opakem je deficientn\u00ED \u010D\u00EDslo.Jin\u00E1 (ekvivalentn\u00ED) definice abundantn\u00EDho \u010D\u00EDsla \u0159\u00EDk\u00E1, \u017Ee abundantn\u00ED \u010D\u00EDslo je takov\u00E9 p\u0159irozen\u00E9 \u010D\u00EDslo n, pro kter\u00E9 plat\u00ED \u03C3(n) > 2n. Kde \u03C3(n) je sou\u010Det v\u0161ech kladn\u00FDch d\u011Blitel\u016F \u010D\u00EDsla n, v\u010Detn\u011B \u010D\u00EDsla sam\u00E9ho. Hodnota \u03C3(n) - 2n se naz\u00FDv\u00E1 abundance \u010D\u00EDsla n.Abudantn\u00ED \u010D\u00EDsla jsou nap\u0159.12, 18, 20, 24, 30, 36, 40, 42, 48, 54, 56, 60, 66, 70, 72, 78, 80, 84, 88, 90, 96, 100, 102, \u2026Vezm\u011Bme si nap\u0159\u00EDklad \u010D\u00EDslo 24. Jeho d\u011Blitel\u00E9 jsou \u010D\u00EDsla 1, 2, 3, 4, 6, 8, 12 a 24, jejich sou\u010Det je 60. Proto\u017Ee 60 je v\u011Bt\u0161\u00ED ne\u017E 2 \u00D7 24, je \u010D\u00EDslo 24 abundantn\u00ED. Jeho abundance je 60 - 2 \u00D7 24 = 12.Abundantn\u00ED \u010D\u00EDslo je ka\u017Ed\u00E9 sud\u00E9 \u010D\u00EDslo, kter\u00E9 nen\u00ED prvo\u010D\u00EDslo, poloprvo\u010D\u00EDslo nebo jak\u00E1koli mocnina (v\u00FDjimkou jsou lich\u00E1 \u010D\u00EDsla, proto\u017Ee i v\u011Bt\u0161ina lich\u00FDch \u010D\u00EDsel spl\u0148uj\u00EDc\u00EDch tyto podm\u00EDnky je kv\u016Fli n\u00EDzk\u00E9mu sou\u010Dtu sv\u00FDch d\u011Blitel\u016F deficientn\u00ED). Nejmen\u0161\u00ED lich\u00E9 abundantn\u00ED \u010D\u00EDslo je 945.Ka\u017Ed\u00E9 cel\u00E9 \u010D\u00EDslo v\u011Bt\u0161\u00ED ne\u017E 20 161 m\u016F\u017Ee b\u00FDt zaps\u00E1no jako sou\u010Det dvou abundantn\u00EDch \u010D\u00EDsel."@cs . "Abundantn\u00ED \u010D\u00EDslo"@cs . . . "Abundantn\u00ED \u010D\u00EDslo (z latiny abundans \u2013 hojn\u00FD) je v matematice takov\u00E9 \u010D\u00EDslo, kter\u00E9 je men\u0161\u00ED ne\u017E sou\u010Det jeho vlastn\u00EDch d\u011Blitel\u016F krom\u011B sebe, opakem je deficientn\u00ED \u010D\u00EDslo.Jin\u00E1 (ekvivalentn\u00ED) definice abundantn\u00EDho \u010D\u00EDsla \u0159\u00EDk\u00E1, \u017Ee abundantn\u00ED \u010D\u00EDslo je takov\u00E9 p\u0159irozen\u00E9 \u010D\u00EDslo n, pro kter\u00E9 plat\u00ED \u03C3(n) > 2n. Kde \u03C3(n) je sou\u010Det v\u0161ech kladn\u00FDch d\u011Blitel\u016F \u010D\u00EDsla n, v\u010Detn\u011B \u010D\u00EDsla sam\u00E9ho."@cs . . . "abundantn\u00EDm \u010D\u00EDsle"@cs . . . . . . "Abundantn\u00ED \u010D\u00EDslo"@cs . "20"^^ . . "abundantn\u00ED"@cs . . . . . . . . . . . "15706913"^^ . .