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Why 7 is a special number?

The number seven was considered to be particularly interesting because it consisted of the union of the physical (number 4) with the spiritual (number 3). In Pythagorean numerology the number 7 means spirituality.

en.wikipedia.org - 7 - Wikipedia
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Natural number

7 (seven) is the natural number following 6 and preceding 8. It is the only prime number preceding a cube. As an early prime number in the series of positive integers, the number seven has greatly symbolic associations in religion, mythology, superstition and philosophy. The seven Classical planets resulted in seven being the number of days in a week.[citation needed] It is often considered lucky in Western culture and is often seen as highly symbolic. Unlike Western culture, in Vietnamese culture, the number seven is sometimes considered unlucky.[citation needed] In English, it is the first natural number whose pronunciation contains more than one syllable.

Evolution of the Arabic digit [ edit ]

In the beginning, Indians wrote 7 more or less in one stroke as a curve that looks like an uppercase ⟨J⟩ vertically inverted. The western Ghubar Arabs' main contribution was to make the longer line diagonal rather than straight, though they showed some tendencies to making the digit more rectilinear. The eastern Arabs developed the digit from a form that looked something like our 6 to one that looked like an uppercase V. Both modern Arab forms influenced the European form, a two-stroke form consisting of a horizontal upper stroke joined at its right to a stroke going down to the bottom left corner, a line that is slightly curved in some font variants. As is the case with the European digit, the Cham and Khmer digit for 7 also evolved to look like their digit 1, though in a different way, so they were also concerned with making their 7 more different. For the Khmer this often involved adding a horizontal line to the top of the digit.[1] 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. This horizontal stroke is, however, important to distinguish the glyph for seven from the glyph for one in writing that uses a long upstroke in the glyph for 1. In some Greek dialects of the early 12th century the longer line diagonal was drawn in a rather semicircular transverse line. On the seven-segment displays of pocket calculators and digital watches, 7 is the digit with the most common graphic variation (1, 6 and 9 also have variant glyphs). Most calculators use three line segments, but on Sharp, Casio, and a few other brands of calculators, 7 is written with four line segments because in Japan, Korea and Taiwan 7 is written with a "hook" on the left, as ① in the following illustration. While the shape of the character for the digit 7 has an ascender in most modern typefaces, in typefaces with text figures the character usually has a descender, as, for example, in . Most people in Continental Europe,[2] and some in Britain and Ireland as well as Latin America, write 7 with a line in the middle (" 7 "), sometimes with the top line crooked. The line through the middle is useful to clearly differentiate the digit from the digit one, as the two can appear similar when written in certain styles of handwriting. This form is used in official handwriting rules for primary school in Russia, Ukraine, Bulgaria, Poland, other Slavic countries,[3] France,[4] Italy, Belgium, the Netherlands, Finland,[5] Romania, Germany, Greece,[6] and Hungary.[citation needed]

Mathematics [ edit ]

Seven, the fourth prime number, is not only a Mersenne prime (since 23 − 1 = 7) but also a double Mersenne prime since the exponent, 3, is itself a Mersenne prime.[7] It is also a Newman–Shanks–Williams prime,[8] a Woodall prime,[9] a factorial prime,[10] a Harshad number, a lucky prime,[11] a happy number (happy prime),[12] a safe prime (the only Mersenne safe prime), a Leyland prime of the second kind and the fourth Heegner number.[13] A heptagon in Euclidean space is unable to generate uniform tilings alongside other polygons, like the regular pentagon. However, it is one of fourteen polygons that can fill a plane-vertex tiling, in its case only alongside a regular triangle and a 42-sided polygon (3.7.42).[18][19] This is also one of twenty-one such configurations that also features the largest and smallest polygons possible.[20]

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Of the nine uniform colorings of the square tiling, seven are Wythoffian, and between the triangular tiling and square tiling, there are seven non-Wythoffian uniform colorings, of a total twenty-one that belong to regular tilings (all hexagonal tiling uniform colorings are Wythoffian).[22] There are precisely seven 7-uniform Krotenheerdt tilings, with no other such k-uniform tilings for k > 7, and it is also the only k for which the count of Krotenheerdt tilings agrees with k.[23][24] There are seven frieze groups, [25] the groups consisting of symmetries of the plane whose group of translations is isomorphic to the group of integers. the groups consisting of symmetries of the plane whose group of translations is isomorphic to the group of integers. There are seven fundamental types of catastrophes.[26]

Graph of the probability distribution of the sum of two six-sided dice

When rolling two standard six-sided dice, seven has a 6 in 6 2 (or 1 / 6 ) probability of being rolled (1–6, 6–1, 2–5, 5–2, 3–4, or 4–3), the greatest of any number. [27] The opposite sides of a standard six-sided dice always add to 7. (or ) probability of being rolled (1–6, 6–1, 2–5, 5–2, 3–4, or 4–3), the greatest of any number. The opposite sides of a standard six-sided dice always add to 7. The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000.[28] Currently, six of the problems remain unsolved.[29]

Basic calculations [ edit ]

Multiplication 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 50 100 1000 7 × x 7 14 21 28 35 42 49 56 63 70 77 84 91 98 105 112 119 126 133 140 147 154 161 168 175 350 700 7000 Division 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 7 ÷ x 7 3.5 2. 3 1.75 1.4 1.1 6 1 0.875 0. 7 0.7 0. 63 0.58 3 0. 538461 0.5 0.4 6 x ÷ 7 0. 142857 0. 285714 0. 428571 0. 571428 0. 714285 0. 857142 1. 142857 1. 285714 1. 428571 1. 571428 1. 714285 1. 857142 2 2. 142857 Exponentiation 1 2 3 4 5 6 7 8 9 10 11 12 13 7x 7 49 343 2401 16807 117649 823543 5764801 40353607 282475249 1977326743 13841287201 96889010407 x7 1 128 2187 16384 78125 279936 823543 2097152 4782969 10000000 19487171 35831808 62748517 Radix 1 5 10 15 20 25 50 75 100 125 150 200 250 500 1000 10000 100000 1000000 x 7 1 5 13 7 21 7 26 7 34 7 101 7 135 7 202 7 236 7 303 7 404 7 505 7 1313 7 2626 7 41104 7 564355 7 11333311 7

In decimal [ edit ]

999,999 divided by 7 is exactly 142,857. Therefore, when a vulgar fraction with 7 in the denominator is converted to a decimal expansion, the result has the same six-digit repeating sequence after the decimal point, but the sequence can start with any of those six digits.[30] For example, 1/7 = 0.142857 142857... and 2/7 = 0.285714 285714.... In fact, if one sorts the digits in the number 142,857 in ascending order, 124578, it is possible to know from which of the digits the decimal part of the number is going to begin with. The remainder of dividing any number by 7 will give the position in the sequence 124578 that the decimal part of the resulting number will start. For example, 628 ÷ 7 = 89+5/7; here 5 is the remainder, and would correspond to number 7 in the ranking of the ascending sequence. So in this case, 628 ÷ 7 = 89.714285. Another example, 5238 ÷ 7 = 748+2/7, hence the remainder is 2, and this corresponds to number 2 in the sequence. In this case, 5238 ÷ 7 = 748.285714.

In science [ edit ]

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Seven colors in a rainbow: ROYGBIV

Seven Continents

Seven Seas

Seven climes

The neutral pH balance

Number of music notes in a scale

Number of spots most commonly found on ladybugs

Atomic number for Nitrogen

In Psychology [ edit ]

Classical antiquity [ edit ]

The Pythagoreans invested particular numbers with unique spiritual properties. The number seven was considered to be particularly interesting because it consisted of the union of the physical (number 4) with the spiritual (number 3).[34] In Pythagorean numerology the number 7 means spirituality.

References from classical antiquity to the number seven include:

Religion and mythology [ edit ]

Judaism [ edit ]

The number seven forms a widespread typological pattern within Hebrew scripture, including:

Seven days (more precisely yom) of Creation, leading to the seventh day or Sabbath (Genesis 1) Seven-fold vengeance visited on upon Cain for the killing of Abel (Genesis 4:15) Seven pairs of every clean animal loaded onto the ark by Noah (Genesis 7:2) Seven years of plenty and seven years of famine in Pharaoh's dream (Genesis 41)

Seventh son of Jacob, Gad, whose name means good luck (Genesis 46:16)

Seven times bullock's blood is sprinkled before God (Leviticus 4:6)

Seven nations God told the Israelites they would displace when they entered the land of Israel (Deuteronomy 7:1)

Seven days of the Passover feast (Exodus 13:3–10)

Seven-branched candelabrum or Menorah (Exodus 25)

Seven trumpets played by seven priests for seven days to bring down the walls of Jericho (Joshua 6:8)

Seven things that are detestable to God (Proverbs 6:16–19)

Seven Pillars of the House of Wisdom (Proverbs 9:1)

Seven archangels in the deuterocanonical Book of Tobit (12:15)

References to the number seven in Jewish knowledge and practice include:

Seven divisions of the weekly readings or aliyah of the Torah

Seven Jewish men (over the age of 13) called to read aliyahs in Shabbat morning services

Seven blessings recited under the chuppah during a Jewish wedding ceremony

Seven days of festive meals for a Jewish bride and groom after their wedding, known as Sheva Berachot or Seven Blessings

Seven Ushpizzin prayers to the Jewish patriarchs during the holiday of Sukkot

Christianity [ edit ]

Following the traditional of the Hebrew Bible, the New Testament likewise uses the number seven as part of a typological pattern:

References to the number seven in Christian knowledge and practice include:

Islam [ edit ]

References to the number seven in Islamic knowledge and practice include:

Hinduism [ edit ]

References to the number seven in Hindu knowledge and practice include:

Eastern tradition [ edit ]

Other references to the number seven in Eastern traditions include:

Other references [ edit ]

Other references to the number seven in traditions from around the world include:

In culture [ edit ]

In literature [ edit ]

In visual art [ edit ]

The Group of Seven Canadian landscape painters

In sports [ edit ]

See also [ edit ]

Notes [ edit ]

en.wikipedia.org - 7 - Wikipedia
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