[{"@context":"http:\/\/schema.org\/","@type":"BlogPosting","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4335#BlogPosting","mainEntityOfPage":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4335","headline":"Kaprekar-Konstante-Wikipedia","name":"Kaprekar-Konstante-Wikipedia","description":"before-content-x4 Kaprekar-constant \u6570\u306e\u7406\u8ad6\u306b\u7531\u6765\u3057\u3001\u81ea\u7136\u6570\u3067\u3042\u308a\u3001\u53cd\u5fa9\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u4f7f\u7528\u3057\u3066\u5f62\u6210\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u30011949\u5e74\u306b\u3053\u306e\u6570\u5b57\u306e4\u3064\u306e\u6570\u5b57\u306b\u3064\u3044\u3066\u6700\u521d\u306b\u3053\u306e\u6570\u5b57\u3092\u8aac\u660e\u3057\u305f\u30a4\u30f3\u30c9\u306e\u6570\u5b66\u8005D. R.\u30ab\u30d7\u30ec\u30ab\u30eb\uff081905\u301c1986\uff09\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u3002 after-content-x4 \u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u6570\u5b57\u306e\u6570\u5b57\u3092\u30bd\u30fc\u30c8\u3057\u3001\u4e0b\u964d\u3059\u308b\u6570\u5b57\u3068\u6570\u5b57\u306e\u4e0a\u6607\u3059\u308b\u9806\u5e8f\u3068\u306e\u9055\u3044\u3092\u5f62\u6210\u3057\u307e\u3059\u3002 Kaprekar\u306f\u3001\u5c11\u306a\u304f\u3068\u30822\u3064\u306e\u7570\u306a\u308b\u6570\u5b57\u3092\u6301\u30644\u6841\u306e10\u6841\u306e\u6570\u5b57\u3067\u3001\u624b\u9806\u306e7\u56de\u306e\u7e70\u308a\u8fd4\u3057\u306e\u5f8c\u3001\u6700\u65b0\u306e\u6570\u5b576174\u304c\u767a\u751f\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u305f\u3002 3\u30014\u30016\u30018\u30019\u3001\u307e\u305f\u306f10\u6841\u306e10\u9032\u6570\u306e\u30ab\u30d7\u30ec\u30ab\u30eb\u5b9a\u6570\u3078\u3001 \u3059\u3079\u3066\u306e\u6570\u5b57\u304c\u540c\u3058\u3067\u306f\u3042\u308a\u307e\u305b\u3093 \u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u53ef\u80fd\u306a\u9650\u308a\u6700\u5927\u306e\u6570\u5024\u304c\u4f5c\u6210\u3055\u308c\u308b\u3088\u3046\u306b\u95a2\u9023\u3059\u308b\u6570\u5b57\u306e\u6570\u5b57\u3092\u6ce8\u6587\u3057\u3001\u305d\u306e\u5f8c\uff08\u304a\u305d\u3089\u304f\u4e3b\u8981\u306a\u30bc\u30ed\u3067\uff09\u53ef\u80fd\u306a\u9650\u308a\u6700\u5c0f\u306e\u6570\u5b57\u304c\u4f5c\u6210\u3055\u308c\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u305f\u3002\u6b21\u306b\u3001\u6e1b\u7b97\u3092\u901a\u3058\u3066\u9055\u3044\u3092\u5f62\u6210\u3057\u3001\u7d50\u679c\u306b\u30d7\u30ed\u30bb\u30b9\u3092\u518d\u5ea6\u4f7f\u7528\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u591a\u304f\u306e\u30b9\u30c6\u30c3\u30d7\u306e\u5f8c\u3001\u521d\u671f\u6570\u306b\u95a2\u4fc2\u306a\u304f\u3001\u7279\u5b9a\u306e\u6570\u5024\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002 2\u3064\u30015\u6841\u30017\u6841\u306e\u6570\u5b57\u306b\u3064\u3044\u3066\u306f\u3001Kaprekar\u5b9a\u6570\u306f\u3042\u308a\u307e\u305b\u3093\u3002 after-content-x4 3\u6841\u306e\u6570\u5b57\u306eKaprekar\u5b9a\u6570\u306f\u5e38\u306b495\u3067\u3059\u3002 \u4f8b1\uff1a \u521d\u671f\u756a\u53f7\uff1a 734 {displaystyle {734}} after-content-x4 743\u2212347=396963\u2212369=594954\u2212459=495{displaystyle","datePublished":"2022-11-17","dateModified":"2022-11-17","author":{"@type":"Person","@id":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo#Person","name":"lordneo","url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/author\/lordneo","image":{"@type":"ImageObject","@id":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","url":"https:\/\/secure.gravatar.com\/avatar\/44a4cee54c4c053e967fe3e7d054edd4?s=96&d=mm&r=g","height":96,"width":96}},"publisher":{"@type":"Organization","name":"Enzyklop\u00e4die","logo":{"@type":"ImageObject","@id":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","url":"https:\/\/wiki.edu.vn\/wiki4\/wp-content\/uploads\/2023\/08\/download.jpg","width":600,"height":60}},"image":{"@type":"ImageObject","@id":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/9877735cab3dbf096f3793e6ad370db1b437f238","url":"https:\/\/wikimedia.org\/api\/rest_v1\/media\/math\/render\/svg\/9877735cab3dbf096f3793e6ad370db1b437f238","height":"","width":""},"url":"https:\/\/wiki.edu.vn\/all2jp\/wiki11\/archives\/4335","wordCount":2371,"articleBody":"     (adsbygoogle = window.adsbygoogle || []).push({});before-content-x4 Kaprekar-constant \u6570\u306e\u7406\u8ad6\u306b\u7531\u6765\u3057\u3001\u81ea\u7136\u6570\u3067\u3042\u308a\u3001\u53cd\u5fa9\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u3092\u4f7f\u7528\u3057\u3066\u5f62\u6210\u3055\u308c\u307e\u3059\u3002\u3053\u308c\u306f\u30011949\u5e74\u306b\u3053\u306e\u6570\u5b57\u306e4\u3064\u306e\u6570\u5b57\u306b\u3064\u3044\u3066\u6700\u521d\u306b\u3053\u306e\u6570\u5b57\u3092\u8aac\u660e\u3057\u305f\u30a4\u30f3\u30c9\u306e\u6570\u5b66\u8005D. R.\u30ab\u30d7\u30ec\u30ab\u30eb\uff081905\u301c1986\uff09\u306b\u3061\u306a\u3093\u3067\u540d\u4ed8\u3051\u3089\u308c\u307e\u3057\u305f\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4\u30a2\u30eb\u30b4\u30ea\u30ba\u30e0\u306f\u3001\u6570\u5b57\u306e\u6570\u5b57\u3092\u30bd\u30fc\u30c8\u3057\u3001\u4e0b\u964d\u3059\u308b\u6570\u5b57\u3068\u6570\u5b57\u306e\u4e0a\u6607\u3059\u308b\u9806\u5e8f\u3068\u306e\u9055\u3044\u3092\u5f62\u6210\u3057\u307e\u3059\u3002 Kaprekar\u306f\u3001\u5c11\u306a\u304f\u3068\u30822\u3064\u306e\u7570\u306a\u308b\u6570\u5b57\u3092\u6301\u30644\u6841\u306e10\u6841\u306e\u6570\u5b57\u3067\u3001\u624b\u9806\u306e7\u56de\u306e\u7e70\u308a\u8fd4\u3057\u306e\u5f8c\u3001\u6700\u65b0\u306e\u6570\u5b576174\u304c\u767a\u751f\u3059\u308b\u3053\u3068\u3092\u793a\u3057\u307e\u3057\u305f\u3002 3\u30014\u30016\u30018\u30019\u3001\u307e\u305f\u306f10\u6841\u306e10\u9032\u6570\u306e\u30ab\u30d7\u30ec\u30ab\u30eb\u5b9a\u6570\u3078\u3001 \u3059\u3079\u3066\u306e\u6570\u5b57\u304c\u540c\u3058\u3067\u306f\u3042\u308a\u307e\u305b\u3093 \u8a08\u7b97\u3059\u308b\u306b\u306f\u3001\u53ef\u80fd\u306a\u9650\u308a\u6700\u5927\u306e\u6570\u5024\u304c\u4f5c\u6210\u3055\u308c\u308b\u3088\u3046\u306b\u95a2\u9023\u3059\u308b\u6570\u5b57\u306e\u6570\u5b57\u3092\u6ce8\u6587\u3057\u3001\u305d\u306e\u5f8c\uff08\u304a\u305d\u3089\u304f\u4e3b\u8981\u306a\u30bc\u30ed\u3067\uff09\u53ef\u80fd\u306a\u9650\u308a\u6700\u5c0f\u306e\u6570\u5b57\u304c\u4f5c\u6210\u3055\u308c\u308b\u3088\u3046\u306b\u3057\u307e\u3057\u305f\u3002\u6b21\u306b\u3001\u6e1b\u7b97\u3092\u901a\u3058\u3066\u9055\u3044\u3092\u5f62\u6210\u3057\u3001\u7d50\u679c\u306b\u30d7\u30ed\u30bb\u30b9\u3092\u518d\u5ea6\u4f7f\u7528\u3057\u307e\u3059\u3002\u6700\u5f8c\u306b\u591a\u304f\u306e\u30b9\u30c6\u30c3\u30d7\u306e\u5f8c\u3001\u521d\u671f\u6570\u306b\u95a2\u4fc2\u306a\u304f\u3001\u7279\u5b9a\u306e\u6570\u5024\u3092\u53d6\u5f97\u3057\u307e\u3059\u3002 2\u3064\u30015\u6841\u30017\u6841\u306e\u6570\u5b57\u306b\u3064\u3044\u3066\u306f\u3001Kaprekar\u5b9a\u6570\u306f\u3042\u308a\u307e\u305b\u3093\u3002        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x43\u6841\u306e\u6570\u5b57\u306eKaprekar\u5b9a\u6570\u306f\u5e38\u306b495\u3067\u3059\u3002 \u4f8b1\uff1a  \u521d\u671f\u756a\u53f7\uff1a 734 {displaystyle {734}}        (adsbygoogle = window.adsbygoogle || []).push({});after-content-x4743\u2212347=396963\u2212369=594954\u2212459=495{displaystyle {begin {aligned} 743-347\uff06= 396 \\ 963-369\uff06= 594 \\ 954-459\uff06= 495end {aligned}}}}}  \u4f8b2\uff1a  \u521d\u671f\u756a\u53f7\uff1a 29 = \uff08 029 \uff09\uff09 {displaystyle {29 =\uff08029\uff09}}  920\u2212029=891981\u2212189=792972\u2212279=693963\u2212369=594954\u2212459=495{displaystyle {begin {aligned} 920-029\uff06= 891 \\ 981-189\uff06= 792 \\ 972-279\uff06= 693 \\ 963-369\uff06= 594 \\ 954-459\uff06= 495end {aligned}}}}  4\u6841\u306e\u6570\u5b57\u306eKaprekar\u5b9a\u6570\u306f\u5e38\u306b6174\u3067\u3059\u3002\u6570\u5024\u30eb\u30fc\u30e0\u306b\u306f1000\u301c9998\u306e\u6570\u5b57\u304c\u542b\u307e\u308c\u3066\u304a\u308a\u3001\u3059\u3079\u3066\u306e\u6570\u5b57\u306f\u6570\u91cf\u306e\u4e00\u90e8\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305d\u306e\u7d50\u679c\u30018991\u306e\u53ef\u80fd\u306a\u958b\u59cb\u6570\u304c\u3042\u308a\u307e\u3059\u3002\u305d\u306e\u3046\u3061357\u306f\u30012\u3064\u306e2124\u30673\u3064\u306e2124\u3067519\u30014\u30671379\u30015\u30011508\u30676\u30011980\u30677\u3064\u306e\u30b9\u30c6\u30c3\u30d7\u30671\u3064\u306e2124\u3067519\u3067\u89e3\u6c7a\u3067\u304d\u307e\u3059\u3002 \u4f8b1\uff1a  \u521d\u671f\u756a\u53f7\uff1a 4783 {displaystyle {4783}}  8743\u22123478=52656552\u22122556=39969963\u22123699=62646642\u22122466=41767641\u22121467=6174{displaystyle {begin {aligned} 8743-3478\uff06= 5265 \\ 6552-2556\uff06= 3996 \\ 9963-3699\uff06= 6264 \\ 6642-2466\uff06= 4176 \\ 7641-1467\uff06= 6174End {aligned}}  \u4f8b2\uff1a  \u521d\u671f\u756a\u53f7\uff1a \u521d\u3081 {displaystyle {1}} \uff08= 0001\uff09 1000\u22120001=09999990\u22120999=89919981\u22121899=80828820\u22120288=85328532\u22122358=6174{displaystyle {begin {aligned} 1000-0001\uff06= 0999 \\ 9990-0999\uff06= 8991 \\ 9981-1899\uff06= 8082 \\ 8820-0288\uff06= 8532 \\ 8532-2358\uff06= 6174end {aligned}}  \u3059\u3079\u3066\u306e\u6570\u5b57\u304c\u540c\u3058\u3067\u3042\u308bn\u6841\u6570\u306e\u5834\u5408\u3001\u8aac\u660e\u3055\u308c\u3066\u3044\u308b\u624b\u9806\u3067\u306f\u3001\u30ea\u30fc\u30c9\u304c\u8aac\u660e\u3055\u308c\u3066\u3044\u307e\u3059\u3002 n\u30d5\u30a3\u30ae\u30e5\u30a2\u756a\u53f7\u306e\u5834\u5408\u306f\u884c\u3046\u5834\u5408 \u3001\u5e38\u306b\u756a\u53f70\u306b\u3002 \u4f8b1\uff1a \u521d\u671f\u756a\u53f7\uff1a 1111{displaystyle {1111}} 4\u6841\u306e\u6570\u5b57\u306b\u4f7f\u7528\u3055\u308c\u308b\u5834\u5408 1111\u22121111=0000{displaystyle {1111-1111 = 0000}} \u4f8b2\uff1a \u521d\u671f\u756a\u53f7\uff1a 1111{displaystyle {1111}} 5\u6841\u306e\u6570\u5024\u306b\u4f7f\u7528\u3055\u308c\u308b\u5834\u5408 11110\u221201111=0999999990\u221209999=8999199981\u221218999=8098298820\u221202889=9593199531\u221213599=8593298532\u221223589=7494397443\u221234479=6296496642\u221224669=7197397731\u221213779=8395298532\u221223589=74943{displaystyle {begin {aligned} 11110-01111\uff06= 09999 \\ 9990-0999\uff06= 89991 \\ 99981-18999\uff06= 80982 \\ 98820-02889\uff06= 95931 \\ \\ 995531-135992 \\ 95992 \\ 95992 43 \\ 97443-34479\uff06= 62964 \\ 96642-24669\uff06= 71973 \\ 97731-13779\uff06= 83952 \\ 98532-23589\uff06= 74943end {aligned}}}}}} 74943\u3067\u30b5\u30a4\u30af\u30eb\u306b\u5230\u7740\u3057\u305f\u3082\u306e\uff08\u524d\u306e4\u884c\u3092\u53c2\u7167\uff09 2\u3064\u30015\u6841\u30017\u6841\u306e\u6570\u5b57\u306b\u3064\u3044\u3066\u306f\u3001Kaprekar\u5b9a\u6570\u306f\u3042\u308a\u307e\u305b\u3093\u3002 2\u6841\u306e\u6570\u5b57\u306e\u5834\u5408\u3001\u8aac\u660e\u3055\u308c\u3066\u3044\u308b\u624b\u9806\u306f\u6b21\u306e\u30b5\u30a4\u30af\u30eb\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002 9\u219281\u219263\u219227\u219245\u2192 9 5\u6841\u306e\u6570\u5b57\u3067\u3001\u8aac\u660e\u3055\u308c\u3066\u3044\u308b\u624b\u9806\u306f\u3001\u6b21\u306e3\u3064\u306e\u30b5\u30a4\u30af\u30eb\u306e1\u3064\u306b\u3064\u306a\u304c\u308a\u307e\u3059\u3002 71973\u219283952\u219274943\u219262964\u2192 71973  \uff08\u305f\u3068\u3048\u3070\u3001\u6700\u521d\u306e\u756a\u53f733363\u3067\uff09 75933\u219263954\u219261974\u219282962\u2192 75933  \uff08\u305f\u3068\u3048\u3070\u3001\u51fa\u529b\u756a\u53f733364\u3067\uff09 59994\u219253955\u2192 59994  \uff08\u305f\u3068\u3048\u3070\u3001\u6700\u521d\u306e\u756a\u53f733371\u3067\uff09 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