588
588 Achilles was the first trojan asteroid discovered.
- Even
- Composite
Where 588 fits
Why 588 is special
Its discovery in 1906 confirmed that the Lagrangian points predicted a century earlier actually hold objects.
Factors & digit properties
- Divisors (18)
- 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
- Prime factorisation
- 2^2 × 3 × 7^2
- Digit sum
- 21
- Digital root
- 3
Representations
- Decimal
- 588
- Scientific notation
- 5.880 × 10^2
Roman numerals
D L X X X V I I I
Binary
1 0 0 1 0 0 1 1 0 0
1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 0 × 2 + 0 × 1 = 588
Octal
1 1 1 4
1 × 512 + 1 × 64 + 1 × 8 + 4 × 1 = 588
Hexadecimal
2 4 c
2 × 256 + 4 × 16 + c × 1 = 588
Read as powers of two: 512 + 64 + 8 + 4 = 588.
In historical numeral systems
Egyptian
5 coils of rope, 8 hobbles, 8 strokes
5 × 100 + 8 × 10 + 8 × 1 = 588. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
9 vertical wedges (sixties place), 4 corner wedges + 8 vertical wedges (units place)
9 × 60 + 48 = 588. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
phi, then pi, then eta, marked as a numeral
phi-pi-eta + keraia
phi + pi + eta 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 qof, then pe, then het
tav-qof-pe-het
tav (400) + qof (100) + pe (80) + het (8) = 588, 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
- Abundant number
- Harshad (Niven) number
Related numbers & connections
Both are Jupiter trojans, one binary and one the first of the population ever found.
View 617 →Science
588 Achilles was identified in 1906 at Jupiter's L4 point, providing the first observational confirmation that the Lagrangian equilibrium points harbour real populations.
DocumentedSciencePeriod: 1906–
Common questions
Is 588 a prime number?
No, 588 is not prime.
What are the factors of 588?
The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588.
What is 588 in Roman numerals?
588 in Roman numerals is DLXXXVIII.
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