613
613 is the number of commandments (mitzvot) that rabbinic tradition counts in the Torah.
- Odd
- Prime
Where 613 fits
Why 613 is special
613 is a count arrived at by interpretation rather than by a list in the text itself. The figure is attributed to Rabbi Simlai in the Talmud and was later enumerated in detail by Maimonides, who divided it into 248 positive commandments and 365 prohibitions. Different authorities enumerate the individual commandments differently while keeping the total.
613 connects to:
- numbers in culture and belief — appears in
- 365 — appears alongside
Same number, different meanings
How 613 is understood across different contexts — never implying one meaning because of another.
- Mathematics
613 is a count arrived at by interpretation rather than by a list in the text itself. The figure is attributed to Rabbi Simlai in the Talmud and was later enumerated in detail by Maimonides, who divided it into 248 positive commandments and 365 prohibitions. Different authorities enumerate the individual commandments differently while keeping the total.
- Religion & belief
In Judaism, the commandments of the Torah are traditionally enumerated as six hundred and thirteen. The count is first stated by Rabbi Simlai in the Talmud, third century CE. 248 positive and 365 negative in the usual division. Maimonides' enumeration in the Sefer HaMitzvot became standard, and other authorities counted differently — the number is older than any agreed list to fill it. This is a scholarly account rather than the tradition's own framing.
- Culture
The traditional breakdown pairs 365 prohibitions with the days of the solar year and 248 positive commandments with a rabbinic count of the parts of the human body. The correspondence is a teaching device recorded in the tradition itself rather than a claim about anatomy or astronomy.
613 is part of
Factors & digit properties
- Divisors (2)
- 1, 613
- Prime factorisation
- 613
- Digit sum
- 10
- Digital root
- 1
Representations
- Decimal
- 613
- Scientific notation
- 6.130 × 10^2
Roman numerals
D C X I I I
Binary
1 0 0 1 1 0 0 1 0 1
1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 613
Octal
1 1 4 5
1 × 512 + 1 × 64 + 4 × 8 + 5 × 1 = 613
Hexadecimal
2 6 5
2 × 256 + 6 × 16 + 5 × 1 = 613
Read as powers of two: 512 + 64 + 32 + 4 + 1 = 613.
In historical numeral systems
Egyptian
6 coils of rope, 1 hobble, 3 strokes
6 × 100 + 1 × 10 + 3 × 1 = 613. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge (sixties place), 1 corner wedge + 3 vertical wedges (units place)
10 × 60 + 13 = 613. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
chi, then iota, then gamma, marked as a numeral
chi-iota-gamma + keraia
chi + iota + gamma written in descending order and added — the letters carry their values wherever they stand, so this is addition, not place value.
Hebrew numerals
tav, then resh, then yod, then gimel
tav-resh-yod-gimel
tav (400) + resh (200) + yod (10) + gimel (3) = 613, written in descending order.
Systems that simply cannot reach this value are left out. Where a script needs a font most readers do not have, the reading is given instead of the glyphs — see number systems for each system in full.
Other mathematical patterns
- Deficient number
- Lucky number (mathematical sieve)
Related numbers & connections
613 appears in Numbers in culture and belief, the topic covering numbers that carry a documented cultural fact.
Numbers Around Us
- appears inCulture and belief
why?
Strength 0.50, confidence "high".
- appears alongside365
why?
Strength 0.50, confidence "medium".
Religion & belief
In Judaism, the commandments of the Torah are traditionally enumerated as six hundred and thirteen. The count is first stated by Rabbi Simlai in the Talmud, third century CE. 248 positive and 365 negative in the usual division. Maimonides' enumeration in the Sefer HaMitzvot became standard, and other authorities counted differently — the number is older than any agreed list to fill it. This is a scholarly account rather than the tradition's own framing.
Tradition / practiceReligion & beliefCulture: JudaismPresented as belief or tradition, not as an established fact.
The Torah does not state a total; the figure of 613 is attributed to Rabbi Simlai in the Talmud and was enumerated in detail by Maimonides as 248 positive commandments and 365 prohibitions. Different authorities include and exclude different items while keeping the total, so the number is best understood as a traditional framework rather than a count anyone can verify from the text.
Tradition / practiceReligion & beliefCulture: rabbinic JudaismPresented as belief or tradition, not as an established fact.
Culture
The traditional breakdown pairs 365 prohibitions with the days of the solar year and 248 positive commandments with a rabbinic count of the parts of the human body. The correspondence is a teaching device recorded in the tradition itself rather than a claim about anatomy or astronomy.
Tradition / practiceCultureCulture: rabbinic JudaismPresented as belief or tradition, not as an established fact.
Common questions
Is 613 a prime number?
Yes, 613 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 613?
The factors of 613 are 1, 613.
What is 613 in Roman numerals?
613 in Roman numerals is DCXIII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 3 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026