900

900は自然数、また整数において、899の次で901の前の数である。

1. 性質
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900は合成数であり、約数は 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900 である。
約数の和は2821。
220番目の過剰数である。1つ前は896、次は906。
σ ≧ 3//n// を満たす //n// とみたとき15番目の数である。1つ前は840、次は960。
約数の和が奇数になる51番目の数である。1つ前は882、次は961。
約数を27個もつ最小の数である。次は1764。
約数を //n// 個もつ最小の数とみたとき。1つ前の26個は12288、次の28個は960。
900 = 302
30番目の平方数である。1つ前は841、次は961。
//n// = 2 のときの 30//n// の値とみたとき1つ前は30、次は27000。
900 = 
//n// = 15 のときの 2}} の値とみたとき1つ前は784、次は1024。
900 = 
//n// = 15 のときの 2}} の値とみたとき1つ前は729、次は1089。
900 = 
//n// = 6 のときの 2}} の値とみたとき1つ前は625、次は1225。
//n// = 5 のときの 2}} の値とみたとき1つ前は576、次は1296。
900 = 22}} × 32}} × 5
連続素数の平方積で表せる数である。1つ前は36、次は44100。
3連続素数の平方積とみたとき最小、次は11025。
3つの異なる素因数の積で //p//2}} × //q//2}} × //r//2}} の形で表せる最小の数である。次は1764。
900 = 9 × 10
//n// = 9 のときの 100//n// の値とみたとき1つ前は800、次は1000。
54までの自然数のオイラーのφ関数の値の和に等しい。1つ前は882、次は940。
900 = φ + φ + … + φ
199番目のハーシャッド数である。1つ前は888、次は902。
平方数がハーシャッド数になる13番目の数である。1つ前は576、次は1296。
9を基としたとき55番目のハーシャッド数である。1つ前は810、次は1008。
各位の平方和が平方数になる73番目の数である。1つ前は884、次は926。
各位の和と各位の平方和が両方とも平方数になる9番目の数である。1つ前は400、次は1000。
各位の立方和が平方数になる46番目の数である。1つ前は880、次は1000。
900 = 6 × 10 × 15
3連続三角数の積で表せる3番目の数である。1つ前は180、次は3150。
7000までの素数は900個ある。1つ前の6000までは783、次の8000までは1007。
約数の和が900になる数は2個ある。 約数の和2個で表せる58番目の数である。1つ前は884、次は920。
900 = 103 − 102
//n// = 10 のときの //n//3}} − //n//2}} の値とみたとき1つ前は648、次は1210。
1 = 0.001}}1… 
逆数が循環小数になる数で循環節が1になる36番目の数である。1つ前は768、次は960。
900 = 182}} + 24
異なる2つの平方数の和で表せる264番目の数である。1つ前は898、次は901。
302}} = 182}} + 24
平方数が異なる2つの平方数の和で表せる10番目の数である。1つ前は841、次は1156。
ここに現れる 18，24，30 はピタゴラス数である。
900 = 42}} + 102}} + 282}} = 42}} + 202}} + 222}} = 102}} + 202}} + 20
3つの平方数の和3通りで表せる128番目の数である。1つ前は898、次は908。
900 = 42 + 102 + 282 = 42 + 202 + 222
異なる3つの平方数の和2通りで表せる167番目の数である。1つ前は898、次は908。
900 = 53}} + 63}} + 63}} + 7
4つの正の数の立方数の和で表せる254番目の数である。1つ前は890、次は903。
900 = 180 × 5
900°= 5π 。1つ前の4πは720°、次の6πは1080°。
七角形の内角の和は900°である。1つ前の六角形は720°、次の八角形は1080°。

2. その他 900 に関連すること
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西暦900年
紀元前900年
900の接頭辞：nongenti
ギリシャ文字のサンピは、900 を表す。
2回転半は 900°の回転に等しい。
そのことから、スノーボードのスピン・トリックの名称でもある。
山陰放送、高知放送のラジオ周波数は、900kHz。
ダッソー ファルコン 900は、フランスのダッソーのビジネスジェット機。
サーブ・900 は、スウェーデンのサーブの乗用車。
ホンダ・CBR900RR は、本田技研工業のオートバイ。
900系
国鉄・JRの試作車には、900番台の区分が与えられることが多い。

3. 901 から 999 までの整数
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3.1. 901 から 920
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901 = 17 × 53

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902 = 2 × 11 × 41、楔数、ノントーティエント、ハーシャッド数

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903 = 3 × 7 × 43、楔数、42番目の三角数

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904 = 23 × 113

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905 = 5 × 181、7つの連続した素数の和 

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906 = 2 × 3 × 151、楔数、7セグメントディスプレイでの表示で点対称な数である。

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907: 素数、エマープ

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908 = 22 × 227、ノントーティエント

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909 = 32 × 101

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910 = 2 × 5 × 7 × 13、ハーシャッド数

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911: 素数、数字を入れかえた191も素数、36番目のソフィ・ジェルマン素数、北アメリカでの緊急通報用電話番号

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912 = 24 × 3 × 19、4つの連続した素数の和 、10個の連続した素数の和 、ハーシャッド数

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913 = 11 × 83、45番目のスミス数

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914 = 2 × 457、ノントーティエント

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915 = 3 × 5 × 61、楔数、46番目のスミス数、ハーシャッド数

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916 = 22 × 229、ノントーティエント

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917 = 7 × 131、5つの連続した素数の和 

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918 = 2 × 33 × 17、ハーシャッド数

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919: 素数、19番目の回文素数、17番目の中心つき六角数

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920 = 23 × 5 × 23

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3.2. 921 から 940
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921 = 3 × 307

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922 = 2 × 461、ノントーティエント、47番目のスミス数

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923 = 13 × 71

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924 = 22 × 3 × 7 × 11、双子素数の和 

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925 = 52 × 37、21番目の中心つき四角数、スターリングシルバーにおける銀の含有率

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926 = 2 × 463、6つの連続した素数の和 、ノントーティエント、7セグメントディスプレイでの表示で点対称な数である。

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927 = 32 × 103、14番目のトリボナッチ数

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928 = 25 × 29、4つの連続した素数の和 、8つの連続した素数の和 

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929: 素数、20番目の回文素数、9つの連続した素数の和 ､マツダ・ルーチェの輸出名のひとつ｢Mazda 929｣｡

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930 = 2 × 3 × 5 × 31、30番目の矩形数。

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931 = 72 × 19 = 300}} + 301}} + 302}} 、3つの連続した素数の和 

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932 = 22 × 233

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933 = 3 × 311　

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934 = 2 × 467、ノントーティエント

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935 = 5 × 11 × 17、楔数、ハーシャッド数

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936 = 23 × 32 × 13、12番目の五角錐数、ハーシャッド数

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937: 素数、エマープ、数字を入れかえた379、397も素数、13番目の六芒星数

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938 = 2 × 7 × 67、楔数、ノントーティエント

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939 = 3 × 313

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940 = 22 × 5 × 47

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3.3. 941 から 960
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941: 素数、エマープ、数字を入れかえた419、491も素数、3つの連続した素数の和 、5つの連続した素数の和 

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942 = 2 × 3 × 157 = 3.14 × 3 × 100 、楔数、4つの連続した素数の和 、ノントーティエント

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943 = 23 × 41

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944 = 24 × 59、ノントーティエント

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945 = 33 × 5 × 7、9の二重階乗、奇数の過剰数のうち最小のもの、奇数の擬似完全数のうち最小のもの

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946 = 2 × 11 × 43、楔数、43番目の三角数、22番目の六角数

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947: 素数、7つの連続した素数の和 、数字を入れかえた479も素数

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948 = 22 × 3 × 79、ノントーティエント、7番目の第2種ルース＝アーロン・ペア  の前者

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949 = 13 × 73、7番目の第2種ルース＝アーロン・ペア  の後者

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950 = 2 × 52 × 19、ノントーティエント、アルゼンチンで発行された本に付けられる ISBN のグループ番号2つのうちのひとつ

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951 = 3 × 317、19番目の中心つき五角数、フィンランドに対応する ISBN のグループ番号2つのうちのひとつ

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952 = 23 × 7 × 17、フィンランドに対応する ISBN のグループ番号2つのうちのひとつ

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953: 素数、エマープ、数字を入れかえた593も素数、37番目のソフィ・ジェルマン素数、17番目の中心つき七角数、クロアチアに対応する ISBN のグループ番号

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954 = 2 × 32 × 53、10個の連続した素数の和 、ノントーティエント、ハーシャッド数、ブルガリアに対応する ISBN のグループ番号

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955 = 5 × 191、スリランカに対応する ISBN のグループ番号

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956 = 22 × 239、7セグメントディスプレイでの表示で点対称な数である、チリに対応する ISBN のグループ番号

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957 = 3 × 11 × 29、楔数、台湾および中国に対応する ISBN のグループ番号2つのうちのひとつ

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958 = 2 × 479、ノントーティエント、48番目のスミス数、コロンビアに対応する ISBN のグループ番号

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959 = 7 × 137、キューバに対応する ISBN のグループ番号

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960 = 26 × 3 × 5、6つの連続した素数の和 、ハーシャッド数、ギリシャに対応する ISBN のグループ番号

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3.4. 961 から 980
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961 = 312、3つの連続した素数の和 、5つの連続した素数の和 、15番目の中心つき八角数、スロベニアに対応する ISBN のグループ番号

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962 = 2 × 13 × 37、楔数、ノントーティエント、香港に対応する ISBN のグループ番号2つのうちのひとつ

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963 = 32 × 107、最初の24個の素数の和、ハンガリーに対応する ISBN のグループ番号

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964 = 22 × 241、4つの連続した素数の和 、ノントーティエント、イランに対応する ISBN のグループ番号

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965 = 5 × 193、イスラエルに対応する ISBN のグループ番号

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966 = 2 × 3 × 7 × 23、8つの連続した素数の和 、ハーシャッド数、ウクライナに対応する ISBN のグループ番号2つのうちのひとつ

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967: 素数、エマープ、マレーシアに対応する ISBN のグループ番号2つのうちのひとつ

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968 = 23 × 112、ノントーティエント、メキシコに対応する ISBN のグループ番号2つのうちのひとつ

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969 = 3 × 17 × 19、楔数、17番目の九角数、17番目の三角錐数、パキスタンに対応する ISBN のグループ番号

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970 = 2 × 5 × 97、楔数、メキシコに対応する ISBN のグループ番号2つのうちのひとつ

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971: 素数、エマープ、数字を入れかえた197、719も素数、フィリピンに対応する ISBN のグループ番号

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972 = 22 × 35、ハーシャッド数、ポルトガルに対応する ISBN のグループ番号2つのうちのひとつ

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973 = 7 × 139、ルーマニアに対応する ISBN のグループ番号

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974 = 2 × 487、ノントーティエント、974 = 172 + 182 + 192、タイに対応する ISBN のグループ番号

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975 = 3 × 52 × 13、トルコに対応する ISBN のグループ番号

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976 = 24 × 61、16番目の十角数、以下の国または地域に対応する ISBN のグループ番号: アンティグア島、バハマ、バルバドス、ベリーズ、ケイマン諸島、ドミニカ国、グレナダ、ガイアナ、ジャマイカ、モントセラト、セントクリストファー・ネイビス、セントルシア、セントビンセント・グレナディーン、トリニダード・トバゴ、イギリス領ヴァージン諸島

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977: 素数、9つの連続した素数の和 、エジプトに対応する ISBN のグループ番号

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978 = 2 × 3 × 163、楔数、ノントーティエント、ナイジェリアに対応する ISBN のグループ番号

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979 = 11 × 89、979 = 14 + 24 + 34 + 44 + 54、インドネシアに対応する ISBN のグループ番号

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980 = 22 × 5 × 72、ベネズエラに対応する ISBN のグループ番号

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3.5. 981 から 999
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981 = 32 × 109、シンガポールに対応する ISBN のグループ番号2つのうちのひとつ

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982 = 2 × 491、以下の国または地域に対応する ISBN のグループ番号: クック諸島、フィジー、キリバス、マーシャル諸島、ミクロネシア、ナウル、ニューカレドニア、ニウエ、パラオ、ソロモン諸島、トケラウ、トンガ、ツバル、バヌアツ、サモア

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983: 素数、エマープ、25番目の安全素数、マレーシアに対応する ISBN のグループ番号2つのうちのひとつ

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984 = 23 × 3 × 41、バングラデシュに対応する ISBN のグループ番号

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985 = 5 × 197、3つの連続した素数の和 、13番目のマルコフ数、9番目のペル数、49番目のスミス数、ベラルーシに対応する ISBN のグループ番号2つのうちのひとつ

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986 = 2 × 17 × 29、楔数、ノントーティエント、7セグメントディスプレイでの表示で点対称な数である、台湾および中国に対応する ISBN のグループ番号2つのうちのひとつ

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987 = 3 × 7 × 47、楔数、16番目のフィボナッチ数、アルゼンチンに対応する ISBN のグループ番号2つのうちのひとつ

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988 = 22 × 13 × 19、4つの連続した素数の和 、ノントーティエント、香港に対応する ISBN のグループ番号2つのうちのひとつ

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989 = 23 × 43、ポルトガルに対応する ISBN のグループ番号2つのうちのひとつ

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990 = 2 × 32 × 5 × 11 = 9 × 10 × 11 = 11!、6つの連続した素数の和 、44番目の三角数、ハーシャッド数。9番目の三連続積数。1つ手前は720、次は1320。

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991: 素数、エマープ、数字を入れかえた919も素数、5つの連続した素数の和 、7つの連続した素数の和 

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992 = 25 × 31、31番目の矩形数、ノントーティエント

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993 = 3 × 331

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994 = 2 × 7 × 71、楔数、ノントーティエント

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995 = 5 × 199

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996 = 22 × 3 × 83

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997: 素数、3桁では最大の素数である。

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998 = 2 × 499、ノントーティエント

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999 = 33 × 37、8番目のカプレカ数、ハーシャッド数、イギリスなどの国では緊急通報用電話番号

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4. 脚注
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5. 関連項目
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数に関する記事の一覧
100 - 200 - 300 - 400 - 500 - 600 - 700 - 800 - 900 - 1000
西暦900年 - 紀元前900年
900年代 - 紀元前9世紀
斜体で表した数は素数である。