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Template:Numbers (digits)
Cardinal 7
seven
Ordinal 7th
seventh
Numeral system base 7
Factorization prime
Divisors 1, 7
Roman numeral VII
Prefixes hepta- (Greek)
septua- (Latin)
Binary 111
Octal 7
Duodecimal 7
Hexadecimal 7

7 (seven) is the natural number following 6 and preceding 8. Seven is the smallest positive integer requiring two syllables in English. Prefixes for 7 include hepta- (Greek) and septua- Latin.

The SI prefix for 10007 is zetta (Z), and for its reciprocal zepto (z).

Evolution of the glyph

In the beginning, various Indians wrote 7 more or less in one stroke as a curve that looks like an uppercase J upside down. The western Ghubar Arabs' main contribution was to make the longer line diagonal rather than straight, though they showed some tendencies to making the character more rectilinear. The eastern Arabs developed the character from a 6-look-alike into an uppercase V-look-alike. Both modern Arab forms influenced the European form, a two-stroke character consisting of a horizontal upper line joined at its right to a line going down to the bottom left corner, a line that is slightly curved in some font variants. As is the case with the European glyph, the Cham and Khmer glyph for 7 also evolved to look like their glyph for 1, though in a different way, and so they were also concerned with making their 7 more different. For the Khmer this often involved adding a horizontal line above the glyph. This is analogous to the horizontal stroke through the middle that is sometimes used in handwriting in the Western world but which is almost never used in computer fonts.

On the displays of pocket calculators and digital watches, 7 is the only number to show variation in its glyph. Most calculators use three line segments, but on Sharp and a few other brands of calculators, 7 is written with four line segments.

In mathematics

Seven is the fourth-smallest prime number; the next is eleven. Seven is a Mersenne prime, since 23 - 1 = 7. Seven is also the fourth Mersenne prime exponent, a Newman-Shanks-Williams prime, and a Woodall prime. 7 is also the second lucky prime.

999,999 divided by 7 is exactly 142,857, so fractions with 7 in the denominator have six-digit repeating sequences in their decimal expansions. 1/7 = 0.142857142....

A seven-sided polygon is a heptagon. The regular n-gons for n ≤ 6 can be constructed by ruler and compass alone, but the regular heptagon cannot. Figurate numbers representing heptagons (including seven) are called heptagonal numbers. Seven is also a centered hexagonal number.

There are seven frieze groups, the groups consisting of symmetries of the plane whose group of translations is isomorphic to the group of integers.

In numeral systems

BaseNumeral system
2binary 111
3ternary 21
4quaternary 13
5quinary 12
6senary 11
7septenary 10
over 7 (octal, decimal)7

In other fields

There are seven musicians in a septet and seven babies born in a set of septuplets. The most famous set of septuplets are the McCaughey Septuplets, who were born in 1997.

The British fifty-pence and twenty-pence coins are heptagons, with the sides curved to give them a constant diameter.

Cities constructed amidst seven hills include:

Seven is also:

See also

Digit-letter combinations starting with 7: