17
17 is a prime number, the atomic number of chlorine, and the total syllable count of a traditional Japanese haiku (5-7-5).
- Odd
- Prime
Where 17 fits
Why 17 is special
17 is also one of only two prime-numbered life-cycle lengths (with 13) seen in periodical cicada broods — a genuinely studied case of a prime number appearing in nature.
Same number, different meanings
How 17 is understood across different contexts — never implying one meaning because of another.
- Mathematics
17 is also one of only two prime-numbered life-cycle lengths (with 13) seen in periodical cicada broods — a genuinely studied case of a prime number appearing in nature.
- Religion & belief
17 March is Saint Patrick's Day, observed in Ireland, Northern Ireland, and Irish diaspora communities worldwide. The feast day of Saint Patrick, patron saint of Ireland, held to mark the traditional date of his death. It is a public holiday in the Republic of Ireland and Northern Ireland, and is widely marked in countries with large Irish diaspora populations.
- Science
There are 17 years between emergences of the longest periodical cicada broods (North America).
- Culture
A traditional Japanese haiku follows a 5-7-5 syllable (strictly, 'on') structure across three lines, totalling 17 — one of the most widely taught facts about the form outside Japan, though real haiku composition is more nuanced than the syllable count alone.
17 is part of
Factors & digit properties
- Divisors (2)
- 1, 17
- Prime factorisation
- 17
- Digit sum
- 8
- Digital root
- 8
Representations
- Decimal
- 17
- Scientific notation
- 1.700 × 10^1
Roman numerals
X V I I
Binary
1 0 0 0 1
1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 17
Octal
2 1
2 × 8 + 1 × 1 = 17
Hexadecimal
1 1
1 × 16 + 1 × 1 = 17
Read as powers of two: 16 + 1 = 17.
In historical numeral systems
Egyptian
1 hobble, 7 strokes
1 × 10 + 7 × 1 = 17. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
1 corner wedge + 7 vertical wedges
17 fits in a single sexagesimal place: 1 corner wedge + 7 vertical wedges.
Greek (Ionic)
iota, then zeta, marked as a numeral
iota-zeta + keraia
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
yod, then zayin
yod-zayin
yod (10) + zayin (7) = 17, written in descending order.
Chinese numerals
shí qī
shí qī
十 is ten. Adding 七 after it gives 17 — "ten qī". Writing 一十 is not wrong, but nobody writes eleven that way on its own. The financial (anti-fraud) form is 壹拾柒.
Maya
3 bars + 2 dots
17 fits in the bottom place: 3 bars + 2 dots, since a bar is five and a dot is one.
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
- Twin prime
Related numbers & connections
17 is a factor of 51 (17 × 3 = 51).
View 51 →17 and 19 are twin primes — two primes exactly two apart.
View 19 →17 is one of the two prime-numbered life-cycle lengths (13 or 17 years) seen in periodical cicada broods.
Mathematically related
Shares a distinctive class
- is associated with19
why?
Strength 0.50, confidence "high".
Numbers Around Us
- appears inPeriodical cicada emergence cycles
why?
Strength 0.50, confidence "high".
- appears inPhysics
why?
Strength 0.50, confidence "high".
- appears inLiving things
why?
Strength 0.50, confidence "high".
- appears inCulture and belief
why?
Strength 0.50, confidence "high".
Religion & belief
17 March is Saint Patrick's Day, observed in Ireland, Northern Ireland, and Irish diaspora communities worldwide. The feast day of Saint Patrick, patron saint of Ireland, held to mark the traditional date of his death. It is a public holiday in the Republic of Ireland and Northern Ireland, and is widely marked in countries with large Irish diaspora populations.
DocumentedReligion & beliefCulture: Christian (Irish national feast)Geography: Ireland, Northern Ireland, and Irish diaspora communities worldwide
Science
There are 17 years between emergences of the longest periodical cicada broods (North America).
DocumentedScienceGeography: North AmericaThere are 17 elementary particles in the Standard Model (the Standard Model, complete since the Higgs boson was confirmed in 2012). Twelve fermions, four gauge bosons and the Higgs. The count is of particle types: antiparticles and the colour states of quarks and gluons are not counted separately, and counting them differently is why other figures circulate.
DocumentedScienceGeography: the Standard Model, complete since the Higgs boson was confirmed in 2012The rest mass of a proton is about 17 × 10⁻²⁸ kilograms. 1,836 times the mass of an electron, which is most of why an atom's mass sits in its nucleus.
DocumentedScienceGeography: worldwide17 is the atomic number of chlorine. It is what makes table salt a salt, and small amounts added to drinking water and swimming pools kill waterborne pathogens — one of the largest public-health advances of the twentieth century.
DocumentedScience
Culture
A traditional Japanese haiku follows a 5-7-5 syllable (strictly, 'on') structure across three lines, totalling 17 — one of the most widely taught facts about the form outside Japan, though real haiku composition is more nuanced than the syllable count alone.
Widely documentedCultureCulture: JapaneseA superstition in Italian custom holds that seventeen is treated as unlucky, because the Roman numeral XVII rearranges to VIXI — Latin for 'I have lived', and so 'I am dead' (Italy). One of the few number superstitions with a specific and checkable stated origin, rather than several competing ones. Italian buildings and aircraft omit 17 where English-speaking ones omit 13. This is a scholarly account rather than the tradition's own framing.
Belief / interpretationCultureCulture: Italian customGeography: ItalyPresented as belief or tradition, not as an established fact.
Mathematics
Gauss proved in 1796, aged nineteen, that a regular seventeen-sided polygon can be drawn with compass and straightedge alone — the first advance on the Greeks' list of constructible polygons in two thousand years. The result depends on 17 being a Fermat prime, one of only five known: 3, 5, 17, 257 and 65537. He asked for one to be carved on his gravestone.
DocumentedMathematicsPeriod: 1796
Common questions
Why is 17 considered unlucky in Italy?
Written as the Roman numeral XVII, it can be rearranged into VIXI — Latin for 'I have lived', an inscription associated with the dead. Some Italian buildings skip the seventeenth floor, and the superstition sits where 13 does in much of the English-speaking world.
Why is the 17-sided polygon famous?
Because Gauss proved in 1796, at nineteen, that it can be drawn with compass and straightedge — the first new constructible polygon found in two thousand years. It works because 17 is a Fermat prime, one of only five known (3, 5, 17, 257, 65537). He was proud enough of it to ask for one on his gravestone.
Is 17 a prime number?
Yes, 17 is prime — it has exactly two positive divisors: 1 and itself.
What are the factors of 17?
The factors of 17 are 1, 17.
What is 17 in Roman numerals?
17 in Roman numerals is XVII.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 8 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026