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613 (number)

From Wikipedia, the free encyclopedia
Natural number
← 612613 614 →
Cardinalsix hundred thirteen
Ordinal613th
(six hundred thirteenth)
Factorizationprime
Primeyes
Greek numeralΧΙΓ´
Roman numeralDCXIII,dcxiii
Binary10011001012
Ternary2112013
Senary25016
Octal11458
Duodecimal43112
Hexadecimal26516

613 (six hundred [and] thirteen) is thenatural number following612 and preceding614.

Mathematical properties

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613 is aprime number, the first number ofprime triplet (pp + 4, p + 6), middle number ofsexy prime triple (p − 6, pp + 6). It is the index of a primeLucas number.[1]

613 is acentered square number with 18 per side, acircular number of 21 with a square grid and 27 using a triangular grid. It is also 17-gonal.

613 is the sum of squares of two consecutive integers, 17 and 18, and is also alucky number and thus a lucky prime.

Judaism

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The613 commandments (Hebrew:תרי"ג מצוות:taryag mitzvot, "613 Mitzvot"): 613 is the traditional number ofmitzvot in the JewishTorah, even though the actual number of commands exceeds 2,000, such that the number 613 reflects some underlying yet unstated concept. Indeed, the earliest extant mention of this traditional number is found in Tractate Makkot (on page 23b) in theTalmud, where Rav Simla'i reports the number without a source.

Some Jewish commentaries equate the curtains of the Mishkan (i.e. theTabernacle) with the commandments. Each curtain was 112 square cubits (4x28)[2]—and 613 is the 112th prime number.[3]

InKabbalah, the number 613 is very significant, with every complete entity seen as being divisible into 613 parts: 613 parts to everySefirah; 613 parts to each of the divine mitzvot in the Torah; and 613 parts to the human body (which is also stated by R. Simla'i in the Talmudic passage noted above).

Starting in the 19th century, some Jewish sources claim that there is a tradition that pomegranates have 613 seeds, though this is clearly symbolic as there is no fixed number,[citation needed]and it is generally about 1,000 seeds in reality.

Other occurrences

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The number 613 hangs from the rafters atMadison Square Garden in honor of legendaryNew York Knicks coachRed Holzman's 613 victories.[4][importance?]

InScandal, the secret agency is known as B613.

613 is the area code for Ottawa and elsewhere in eastern Ontario.

See also

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References

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  1. ^"What's Special About This Number?". Archived fromthe original on 2018-02-23. Retrieved2013-04-28.
  2. ^"Exodus 26:1-14 (The Tabernacle and the Tent) – The Superior Word".superiorword.org. Retrieved2022-09-30.
  3. ^"The First 10,000 Primes".The PrimePages: prime number research & records. University Tennessee at Martin.
  4. ^Berkow, Ira (November 15, 1998)."Red Holzman, Hall of Fame Coach, Dies at 78".The New York Times.ISSN 0362-4331. RetrievedAugust 7, 2020.
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