632
632 is the year Muhammad died.
- Even
- Composite
Where 632 fits
Why 632 is special
The question of succession divided the community immediately and produced the Sunni-Shia split, which remains the principal division in Islam nearly fourteen centuries later.
632 is part of
Factors & digit properties
- Divisors (8)
- 1, 2, 4, 8, 79, 158, 316, 632
- Prime factorisation
- 2^3 × 79
- Digit sum
- 11
- Digital root
- 2
Representations
- Decimal
- 632
- Scientific notation
- 6.320 × 10^2
Roman numerals
D C X X X I I
Binary
1 0 0 1 1 1 1 0 0 0
1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 632
Octal
1 1 7 0
1 × 512 + 1 × 64 + 7 × 8 + 0 × 1 = 632
Hexadecimal
2 7 8
2 × 256 + 7 × 16 + 8 × 1 = 632
Read as powers of two: 512 + 64 + 32 + 16 + 8 = 632.
In historical numeral systems
Egyptian
6 coils of rope, 3 hobbles, 2 strokes
6 × 100 + 3 × 10 + 2 × 1 = 632. 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), 3 corner wedges + 2 vertical wedges (units place)
10 × 60 + 32 = 632. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
chi, then lambda, then beta, marked as a numeral
chi-lambda-beta + keraia
chi + lambda + beta 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 lamed, then bet
tav-resh-lamed-bet
tav (400) + resh (200) + lamed (30) + bet (2) = 632, 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
- Happy number
Religion & belief
Muhammad's death in 632 raised the question of who should lead, and the disagreement between those favouring election and those favouring his family became the Sunni-Shia division.
DocumentedReligion & beliefGeography: ArabiaPeriod: 632
Common questions
Is 632 a prime number?
No, 632 is not prime.
What are the factors of 632?
The factors of 632 are 1, 2, 4, 8, 79, 158, 316, 632.
What is 632 in Roman numerals?
632 in Roman numerals is DCXXXII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 1 reviewer-confirmed record, sourced and reviewed before publication.
Last reviewed: 15 July 2026