700

700は自然数、また整数において、699の次で701の前の数である。

1. 性質
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700は合成数であり、約数は 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700 である。
約数の和は1736。
169番目の過剰数である。1つ前は696、次は702。
約数を18個もつ11番目の数である。1つ前は684、次は768。
7002 + 1 = 490001 であり、//n//2 + 1 の形で素数を生む88番目の数である。1つ前は696、次は704。
164番目のハーシャッド数である。1つ前は690、次は702。
7を基としたとき6番目のハーシャッド数である。1つ前は511、次は1015。
1 = 0.00142857}}… 
逆数が循環小数になる数で循環節が6になる81番目の数である。1つ前は693、次は702。
各位の和が7になる36番目の数である。1つ前は610、次は1006。
700 = 21}} + 32}} + 43}} + 5
//n// = 2 のときの //n//1}} + 2}} + 3}} + 4}} の値とみたとき1つ前は288、次は1440。
700 = 22}} × 52}} × 7
3つの異なる素因数の積で //p//2}} × //q//2}} × //r// の形で表せる10番目の数である。1つ前は684、次は828。
700 = 7 × 10
//n// = 10 のときの 7//n//2}} の値とみたとき1つ前は567、次は847。
//n// = 7 のときの 100//n// の値とみたとき1つ前は600、次は800。
700 = 28 × 25
完全数28の倍数である。1つ前は672、次は728。

2. その他 700 に関連すること
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700の接頭辞：septingenti
七百駅は、十和田観光電鉄十和田観光電鉄線の駅。
七百餘所神社は、千葉県八千代市にある神社。
Macintosh Quadra 700は、Appleのコンピュータ。
MZ-700は、シャープのパーソナルコンピュータ。
NTTドコモの携帯電話端末。
F700i
F700iS
N700i
700系 - 700系、700形の鉄道車両。
レミントンM700 は、アメリカのレミントン社が開発したライフル。
『おはよう700』は、TBS系列他で放送された情報番組。
『ぼくたちと駐在さんの700日戦争』は、ブログ中の随筆およびこれをもとにした映画、ドラマ、書籍。
P-700は、ソ連が開発したミサイル。
ダラス  は、アメリカ海軍のロサンゼルス級原子力潜水艦。

3. 701 から 799 までの整数
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3.1. 701 から 720
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701 : 素数、エマープ、3つの連続した素数の和、陳素数

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702 = 2 × 33 × 13、矩形数、ノントーティエント、ハーシャッド数

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703 = 19 × 37、三角数、六角数、カプレカ数

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704 = 26 × 11、ハーシャッド数

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705 = 3 × 5 × 47、楔数

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706 = 2 × 353、ノントーティエント、スミス数

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707 = 7 × 101 = 14}} + 34}} + 54}} 、5つの連続した素数の和、ボーイング707

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708 = 22 × 3 × 59

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709 : 素数、エマープ

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710 = 2 × 5 × 71、楔数、ノントーティエント

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711 = 32 × 79、ハーシャッド数

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712 = 23 × 89、最初の21個の素数の和

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713 = 23 × 31

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714 = 2 × 3 × 7 × 17、ノントーティエント、ルース＝アーロン・ペア、12個の連続した素数の和

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715 = 5 × 11 × 13、楔数、五角数、五胞体数、ハーシャッド数、ルース=アーロン・ペア

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716 = 22 × 179

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717 = 3 × 239、ボーイング717

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718 = 2 × 359

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719 = 6! − 1、素数、階乗素数、ソフィー・ジェルマン素数、安全素数、陳素数、7つの連続した素数の和

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720 = 24 × 32 × 5、階乗数6!、高度合成数、ハーシャッド数、高度トーティエント数

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3.2. 721 から 740
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721 = 7 × 103 = 3}} + 93}} = 3}} + 163}} 、中心つき六角数、9つの連続した素数の和、0721でオナニーを意味するスラング。

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722 = 2 × 192 = 24}} + 34}} + 54}} 、ノントーティエント

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723 = 3 × 241

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724 = 22 × 181、ノントーティエント、4つの連続した素数の和、6つの連続した素数の和

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725 = 52 × 29

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726 = 2 × 3 × 112、五角錐数

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727 : 素数、回文数、回文素数、入れ替えた277も素数、ボーイング727

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728 = 23 × 7 × 13 = 63}} + 83}} = 3}} + 93}} = 3}} + 123}} 、ノントーティエント、スミス数

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729 = 36、平方数272、立方数93、完全トーティエント数、中心つき八角数、スミス数

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730 = 2 × 5 × 73、楔数、ノントーティエント、ハーシャッド数

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731 = 17 × 43、3つの連続した素数の和

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732 = 22 × 3 × 61、ハーシャッド数、8つの連続した素数の和、10個の連続した素数の和

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733 : 素数、エマープ、入れ替えた373も素数、5つの連続した素数の和

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734 = 2 × 367、ノントーティエント

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735 = 3 × 5 × 72、ハーシャッド数、ズッカーマン数

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736 = 25 × 23、中心つき七角数、ナイスフリードマン数、ハーシャッド数。23×32＝736、2つの数の積で表したとき、回文数でない数とその数を逆に並べた数との積で表せる4番目の数。1つ前は574、次は765。

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737 = 11 × 67、回文数、ボーイング737

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738 = 2 × 32 × 41、ハーシャッド数

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739 : 素数、エマープ、入れ替えた379、397も素数

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740 = 22 × 5 × 37、ノントーティエント

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3.3. 741 から 760
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741 = 3 × 13 × 19、楔数、三角数

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742 = 2 × 7 × 53、楔数、十角数

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743 : 素数、エマープ、オイラー素数、ソフィー・ジェルマン素数、陳素数

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744 = 23 × 3 × 31、4つの連続した素数の和

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745 = 5 × 149

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746 = 2 × 373、ノントーティエント、名寄の語呂合わせ

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747 = 32 × 83、ボーイング747

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748 = 22 × 11 × 17 = 43 + 53 + 63 + 73 、原始擬似完全数、ノントーティエント

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749 = 7 × 107、3つの連続した素数の和

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750 = 2 × 3 × 53、九角数

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751 : 素数、エマープ、陳素数

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752 = 24 × 47、ノントーティエント

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753 = 3 × 251

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754 = 2 × 13 × 29、楔数、ノントーティエント

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755 = 5 × 151

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756 = 22 × 33 × 7、矩形数、ハーシャッド数、6つの連続した素数の和

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757 : 素数、回文素数、7つの連続した素数の和

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758 = 2 × 379、ノントーティエント

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759 = 3 × 11 × 23、楔数、5つの連続した素数の和

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760 = 23 × 5 × 19、中心つき三角数

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3.4. 761 から 780
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761 : 素数、エマープ、ソフィー・ジェルマン素数、陳素数、中心つき四角数、入れ替えた617も素数

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762 = 2 × 3 × 127、楔数、ノントーティエント、スミス数、4つの連続した素数の和

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763 = 7 × 109、9つの連続した素数の和

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764 = 22 × 191

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765 = 32 × 5 ×17

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766 = 2 × 383、中心つき五角数、ノントーティエント、12個の連続した素数の和

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767 = 13 × 59、ボーイング767

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768 = 28 × 3、8つの連続した素数の和

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769 : 素数、エマープ、陳素数

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770 = 2 × 5 × 7 × 11、原始擬似完全数、ノントーティエント、ハーシャッド数。3の倍数ではない四素合成数で最小数。

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771 = 3 × 257、3つの連続した素数の和

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772 = 22 × 193

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773 : 素数、テトラナッチ数

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774 = 2 × 32 × 43、ノントーティエント、ハーシャッド数

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775 = 52 × 31 = 33 + 43 + 53 + 63 + 73 = 54}} + 53}} + 52}} = 25 × σ

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776 = 23 × 97

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777 = 3 × 7 × 37、楔数、ハーシャッド数、ボーイング777

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778 = 2 × 389、ノントーティエント、スミス数

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779 = 19 × 41

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780 = 22 × 3 × 5 × 13、三角数、六角数、ハーシャッド数、四つ子素数の和、10個の連続した素数の和

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3.5. 781 から 799
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781 = 11 × 71

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782 = 2 × 17 × 23、楔数、五角数、ノントーティエント、ハーシャッド数

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783 = 33 × 29、七角数

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784 = 24 × 72 = 282 = 13 + 23 + 33 + 43 + 53 + 63 + 73

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785 = 5 × 157

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786 = 2 × 3 × 131、楔数

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787 : 素数、陳素数、回文素数、5つの連続した素数の和、ボーイング787

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788 = 22 × 197、ノントーティエント

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789 = 3 × 263、3つの連続した素数の和

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790 = 2 × 5 × 79、楔数、ノントーティエント

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791 = 7 × 113、最初の22個の素数の和、7つの連続した素数の和

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792 = 23 × 32 × 11 = 22 × σ、ハーシャッド数

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793 = 13 × 61 = 26}} + 36}} 、六芒星数

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794 = 2 × 397、ノントーティエント、794 = 16}} + 26}} + 36}} = 54}} + 13

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795 = 3 × 5 × 53、楔数

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796 = 22 × 199、6つの連続した素数の和

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797 : 素数、陳素数、回文素数、オイラー素数

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798 = 2 × 3 × 7 × 19、ノントーティエント

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799= 17 × 47

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4. 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700年 - 紀元前700年
700年代 - 紀元前7世紀
斜体で表した数は素数である。