40,755
40,755 is triangular, pentagonal and hexagonal at the same time.
- Odd
- Composite
Where 40,755 fits
Why 40,755 is special
Every hexagonal number is triangular, so the real constraint is pentagonal. Only a handful of numbers satisfy all three, and they grow so fast that the next one after 40,755 has more than twenty digits.
40,755 is part of
Factors & digit properties
- Divisors (32)
- 1, 3, 5, 11, 13, 15, 19, 33, 39, 55, 57, 65, 95, 143, 165, 195, 209, 247, 285, 429, 627, 715, 741, 1045, 1235, 2145, 2717, 3135, 3705, 8151, 13585, 40755
- Prime factorisation
- 3 × 5 × 11 × 13 × 19
- Digit sum
- 21
- Digital root
- 3
Representations
- Decimal
- 40755
- Scientific notation
- 4.076 × 10^4
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 1 1 1 1 1 0 0 1 1 0 0 1 1
1 × 32,768 + 0 × 16,384 + 0 × 8,192 + 1 × 4,096 + 1 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 40,755
Octal
1 1 7 4 6 3
1 × 32,768 + 1 × 4,096 + 7 × 512 + 4 × 64 + 6 × 8 + 3 × 1 = 40,755
Hexadecimal
9 f 3 3
9 × 4,096 + f × 256 + 3 × 16 + 3 × 1 = 40,755
Read as powers of two: 32,768 + 4,096 + 2,048 + 1,024 + 512 + 256 + 32 + 16 + 2 + 1 = 40,755.
In historical numeral systems
Egyptian
4 fingers, 7 coils of rope, 5 hobbles, 5 strokes
4 × 10,000 + 7 × 100 + 5 × 10 + 5 × 1 = 40,755. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
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
- Triangular number
- Deficient number
- Pentagonal number
- Hexagonal number
Related numbers & connections
Two figurate landmarks: 1,225 is square and triangular, 40,755 is triangular, pentagonal and hexagonal. Numbers satisfying several shape conditions at once are rare and follow generating rules rather than being found by search.
View 1225 →Other connections
- is associated with1225
why?
Strength 0.50, confidence "high".
Mathematics
40,755 is simultaneously triangular, pentagonal and hexagonal. Because every hexagonal number is already triangular, the binding condition is being pentagonal too — and the next such number is over twenty digits long.
DocumentedMathematics
Common questions
Is 40,755 a prime number?
No, 40,755 is not prime.
What are the factors of 40,755?
The factors of 40,755 are 1, 3, 5, 11, 13, 15, 19, 33, 39, 55, 57, 65, 95, 143, 165, 195, 209, 247, 285, 429, 627, 715, 741, 1045, 1235, 2145, 2717, 3135, 3705, 8151, 13585, 40755.
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