2924
2,924 is the partner of 2,620 in the third-smallest amicable pair.
- Even
- Composite
Where 2924 fits
Why 2924 is special
The proper divisors of each sum to the other. Euler's systematic approach produced this and dozens more, though he missed the much smaller 1,184 and 1,210.
Factors & digit properties
- Divisors (12)
- 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924
- Prime factorisation
- 2^2 × 17 × 43
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 2924
- Scientific notation
- 2.924 × 10^3
Roman numerals
M M C M X X I V
MMCMXXIV uses the subtractive pair IV: one before five — five minus one.
Binary
1 0 1 1 0 1 1 0 1 1 0 0
1 × 2,048 + 0 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 2,924
Octal
5 5 5 4
5 × 512 + 5 × 64 + 5 × 8 + 4 × 1 = 2,924
Hexadecimal
b 6 c
b × 256 + 6 × 16 + c × 1 = 2,924
Read as powers of two: 2,048 + 512 + 256 + 64 + 32 + 8 + 4 = 2,924.
In historical numeral systems
Egyptian
2 lotuses, 9 coils of rope, 2 hobbles, 4 strokes
2 × 1,000 + 9 × 100 + 2 × 10 + 4 × 1 = 2,924. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
4 corner wedges + 8 vertical wedges (sixties place), 4 corner wedges + 4 vertical wedges (units place)
48 × 60 + 44 = 2924. Places are separated by a space on the tablet, with the higher place written first.
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
- Harshad (Niven) number
Mathematics
Euler's formula-driven search produced 2,924 and many larger pairs while overlooking 1,184 and 1,210, which are smaller. A method finds what it is shaped to find.
DocumentedMathematics
Common questions
Is 2924 a prime number?
No, 2924 is not prime.
What are the factors of 2924?
The factors of 2924 are 1, 2, 4, 17, 34, 43, 68, 86, 172, 731, 1462, 2924.
What is 2924 in Roman numerals?
2924 in Roman numerals is MMCMXXIV. IV is subtractive: one before five — five minus one. Written additively it would be MMDCCCCXXIIII, which Roman inscriptions used freely — the strict subtractive form is a later convention.
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