1736
1736 is the year Euler solved the Königsberg bridges problem.
- Even
- Composite
Where 1736 fits
Why 1736 is special
He proved no route could cross all seven bridges exactly once, and in doing so invented graph theory. The proof works by discarding the geography entirely and keeping only the connections.
1736 is part of
Factors & digit properties
- Divisors (16)
- 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736
- Prime factorisation
- 2^3 × 7 × 31
- Digit sum
- 17
- Digital root
- 8
Representations
- Decimal
- 1736
- Scientific notation
- 1.736 × 10^3
Roman numerals
M D C C X X X V I
Binary
1 1 0 1 1 0 0 1 0 0 0
1 × 1,024 + 1 × 512 + 0 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 1,736
Octal
3 3 1 0
3 × 512 + 3 × 64 + 1 × 8 + 0 × 1 = 1,736
Hexadecimal
6 c 8
6 × 256 + c × 16 + 8 × 1 = 1,736
Read as powers of two: 1,024 + 512 + 128 + 64 + 8 = 1,736.
In historical numeral systems
Egyptian
1 lotus, 7 coils of rope, 3 hobbles, 6 strokes
1 × 1,000 + 7 × 100 + 3 × 10 + 6 × 1 = 1,736. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
2 corner wedges + 8 vertical wedges (sixties place), 5 corner wedges + 6 vertical wedges (units place)
28 × 60 + 56 = 1736. 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
- Abundant number
Related numbers & connections
1736 is a year in the 18th century, in the 1730s.
Euler's solution to the Königsberg bridges in 1736 created graph theory by discarding geography; the Pascal-Fermat letters of 1654 created probability from a gambling dispute. Both fields began from a puzzle.
View 1654 →Numbers Around Us
- appears inHistorical years
why?
Strength 0.50, confidence "high".
Other connections
- is associated with1654
why?
Strength 0.50, confidence "high".
History
In 1736, Euler solved the Seven Bridges of Königsberg, the problem generally taken to begin graph theory (Prussia).
DocumentedHistoryGeography: PrussiaPeriod: 1736
Mathematics
Euler's 1736 solution ignored distances and shapes and considered only which land masses connected to which. That abstraction created graph theory and underlies every network analysis since.
DocumentedMathematicsGeography: KönigsbergPeriod: 1736
Common questions
Is 1736 a prime number?
No, 1736 is not prime.
What are the factors of 1736?
The factors of 1736 are 1, 2, 4, 7, 8, 14, 28, 31, 56, 62, 124, 217, 248, 434, 868, 1736.
What is 1736 in Roman numerals?
1736 in Roman numerals is MDCCXXXVI.
About this page's data
Mathematical facts:computed directly from the number's value — nothing to source or verify externally.
Contextual records: 2 reviewer-confirmed records, sourced and reviewed before publication.
Last reviewed: 15 July 2026