613 (number)

Source: Wikipedia, the free encyclopedia.
← 612
613
614 →
Cardinalsix hundred thirteen
Ordinal613th
(six hundred thirteenth)
Factorizationprime
Primeyes
Greek numeralΧΙΓ´
Roman numeralDCXIII
Binary10011001012
Ternary2112013
Senary25016
Octal11458
Duodecimal43112
Hexadecimal26516

613 (six hundred [and] thirteen) is the natural number following 612 and preceding 614.

Mathematical properties

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

613 is a

circular 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 a lucky number and thus a lucky prime.

Judaism

The

Talmud
, where Rav Simla'i reports the number without a source.

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

In

Sefirah
; 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, and it is generally about 1,000 seeds in reality.

Other occurrences

The number 613 hangs from the rafters at Madison Square Garden in honor of legendary New York Knicks coach Red Holzman's 613 victories.[4][importance?]

In

Scandal
, the secret agency is known as B613.

See also

References

  1. ^ "What's Special About This Number?". Archived from the original on 2018-02-23. Retrieved 2013-04-28.
  2. ^ "Exodus 26:1-14 (The Tabernacle and the Tent) – The Superior Word". superiorword.org. Retrieved 2022-09-30.
  3. ^ "The First 10,000 Primes". The PrimePages: prime number research & records. University Tennessee at Martin.
  4. ISSN 0362-4331
    . Retrieved August 7, 2020.