613 (number)

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← 612 613 614 →
Cardinalsix hundred thirteen
Ordinal613th
(six hundred thirteenth)
Factorizationprime
Primeyes
Greek numeralΧΙΓ´
Roman numeralDCXIII
Binary10011001012
Ternary2112013
Quaternary212114
Quinary44235
Senary25016
Octal11458
Duodecimal43112
Hexadecimal26516
Vigesimal1AD20
Base 36H136

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 (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 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.

Other occurrences[edit]

The 613 commandments (Hebrew: תרי"ג מצוות‎: taryag mitzvot, "613 Mitzvot") - 613 is the number of mitzvot in the Jewish Torah.

In Jewish Kabbalah the number 613 is very significant, every complete entity is seen as being divisible into 613 parts: 613 parts of every Sefirah; 613 parts of divine mitzvot in the Torah; 613 parts of the human body.

The pomegranate is said in Judaism to have 613 seeds.

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

The Beatles mentioned "love" in their lyrics 613 times.[2][importance?]

In Scandal, the secret agency is known as B613.

See also[edit]

References[edit]