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研 means 'sharpen'

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Strokes : 9    Frequency: 546   JLPT: N4    Usefulness: 2    Study set: 2-8    Grade: 3   Intermediate lesson: 13    Beginner lesson: -   Begins 86 words   Used in 167 words   Used in 718 names   Component in 1 kanji (0 Jōyō)
Jōyō (常用)
On
   ケン
Kun
   とぐ to sharpen, to whet
Kun    みがく to sharpen
Name    のり
硏  
⿰  石 stone  开 start; initiate  
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In the most useful 10,000 words in Japanese, 研 is used 9 times, read 2 ways.
Across all words in Japanese, 研 is used 165 times, read 3 ways.
Showing:
ケン : 149 words FIND ALL
け ん き ゅ う 0
study; research; investigation
(click the word for examples and links)
とぐ : 14 words FIND ALL
と ぐ 1
'gu' godan verb, transitive verb
1. to sharpen; to hone; to whet; to grind
2. to wash (rice)  (esp. 磨ぐ)
(click the word to view an additional 1 meaning and 3 forms, examples and links)
みがく : 2 words FIND ALL
み が く 0
Most common form: 磨く
'ku' godan verb, transitive verb
1. to polish; to shine; to brush (e.g. teeth)
2. to refine; to improve
(click the word to view an additional 2 forms, useful expressions, examples and links)
An additional 2 less common words include 研 but the readings have not yet been categorized.
Henshall: 290 (originally: 272)  Joy o' Kanji : 272  Key to Kanji: 278 

Cascading kanji view

研
ケン   とぐ to sharpen, to whet   
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开
start, initiate   
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一
イチ   イツ   ひとつ    ひと- one   
廾
twenty; two hands   
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十
ジュウ   ジッ   と    とお ten   
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丨
stick   
石
セキ   シャク   コク   いし stone   
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丆
whereupon one
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ノ
katakana 'no'; whereupon; splitting away from
口
コウ   ク   くち mouth   
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