617
617 Patroclus is a binary Jupiter trojan.
- Odd
- Prime
Where 617 fits
Why 617 is special
Two similar-sized bodies orbit each other, and the pair is a target of the Lucy mission because such systems constrain how trojans were captured.
617 is part of
Factors & digit properties
- Divisors (2)
- 1, 617
- Prime factorisation
- 617
- Digit sum
- 14
- Digital root
- 5
Representations
- Decimal
- 617
- Scientific notation
- 6.170 × 10^2
Roman numerals
D C X V I I
Binary
1 0 0 1 1 0 1 0 0 1
1 × 512 + 0 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 617
Octal
1 1 5 1
1 × 512 + 1 × 64 + 5 × 8 + 1 × 1 = 617
Hexadecimal
2 6 9
2 × 256 + 6 × 16 + 9 × 1 = 617
Read as powers of two: 512 + 64 + 32 + 8 + 1 = 617.
In historical numeral systems
Egyptian
6 coils of rope, 1 hobble, 7 strokes
6 × 100 + 1 × 10 + 7 × 1 = 617. 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 + 7 vertical wedges (units place)
10 × 60 + 17 = 617. Places are separated by a space on the tablet, with the higher place written first.
Greek (Ionic)
chi, then iota, then zeta, marked as a numeral
chi-iota-zeta + keraia
chi + iota + zeta 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 zayin
tav-resh-yod-zayin
tav (400) + resh (200) + yod (10) + zayin (7) = 617, 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
- Twin prime
Related numbers & connections
The largest trojan and a binary trojan, both probably assembled gently rather than broken apart.
View 624 →Both are Jupiter trojans, one binary and one the first of the population ever found.
View 588 →Science
617 Patroclus is a binary trojan whose components are of similar size. It is a target of the Lucy mission, which is surveying Jupiter's trojan populations.
DocumentedSciencePeriod: 1906–
Common questions
Is 617 a prime number?
Yes, 617 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 617?
The factors of 617 are 1, 617.
What is 617 in Roman numerals?
617 in Roman numerals is DCXVII.
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