613 (number)
| ||||
|---|---|---|---|---|
| Cardinal | six hundred thirteen | |||
| Ordinal | 613th (six hundred thirteenth) | |||
| Factorization | prime | |||
| Prime | yes | |||
| Greek numeral | ΧΙΓ´ | |||
| Roman numeral | DCXIII | |||
| Binary | 10011001012 | |||
| Ternary | 2112013 | |||
| Senary | 25016 | |||
| Octal | 11458 | |||
| Duodecimal | 43112 | |||
| Hexadecimal | 26516 | |||
613 (six hundred [and] thirteen) is the natural number following 612 and preceding 614.
Mathematical properties
[edit]613 is a prime number, the first number of prime triplet (p, p + 4, p + 6), middle number of sexy prime triple (p − 6, p, p + 6). It is the index of a prime Lucas number.[1]
613 is a centered square number with 18 per side, 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
[edit]The 613 commandments (Hebrew: תרי"ג מצוות: taryag mitzvot, "613 Mitzvot"): 613 is the traditional number of mitzvot in the Jewish Torah, 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 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 Kabbalah, the number 613 is very significant, with every complete entity seen as being divisible into 613 parts: 613 parts to every 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
[edit]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
[edit]- The years 613 and 613 BC
- List of highways numbered 613
- The asteroid 613 Ginevra
- United Nations Security Council Resolution 613
References
[edit]- ^ "What's Special About This Number?". Archived from the original on 2018-02-23. Retrieved 2013-04-28.
- ^ "Exodus 26:1-14 (The Tabernacle and the Tent) – The Superior Word". superiorword.org. Retrieved 2022-09-30.
- ^ "The First 10,000 Primes". The PrimePages: prime number research & records. University Tennessee at Martin.
- ^ Berkow, Ira (November 15, 1998). "Red Holzman, Hall of Fame Coach, Dies at 78". The New York Times. ISSN 0362-4331. Retrieved August 7, 2020.