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.
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
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.
- 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
- Binary
- 1001100101
- Octal
- 1145
- Hexadecimal
- 265
- Roman numeral
- DCXIII
- Scientific notation
- 6.130 × 10^2
Other mathematical patterns
- Deficient number
- Lucky number (mathematical sieve)
Related numbers & connections
Rabbinic tradition enumerates 613 commandments as 248 positive and 365 prohibitions, pairing the prohibitions with the days of the solar year. The correspondence is a teaching device recorded in the tradition, not a claim about astronomy.
View 365 →Numbers Around Us
- appears alongside365
why?
Strength 0.50, confidence "medium".
Religion & belief
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: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 3 August 2026