3040
3040 Kozai is named after the discoverer of an orbital mechanism.
- Even
- Composite
Where 3040 fits
Why 3040 is special
The Kozai mechanism trades orbital inclination for eccentricity, and it explains why some distant objects are on orbits nothing else could produce.
Factors & digit properties
- Divisors (24)
- 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040
- Prime factorisation
- 2^5 × 5 × 19
- Digit sum
- 7
- Digital root
- 7
Representations
- Decimal
- 3040
- Scientific notation
- 3.040 × 10^3
Roman numerals
M M M X L
MMMXL uses the subtractive pair XL: ten before fifty — fifty minus ten.
Binary
1 0 1 1 1 1 1 0 0 0 0 0
1 × 2,048 + 0 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 3,040
Octal
5 7 4 0
5 × 512 + 7 × 64 + 4 × 8 + 0 × 1 = 3,040
Hexadecimal
b e 0
b × 256 + e × 16 + 0 × 1 = 3,040
Read as powers of two: 2,048 + 512 + 256 + 128 + 64 + 32 = 3,040.
In historical numeral systems
Egyptian
3 lotuses, 4 hobbles
3 × 1,000 + 4 × 10 = 3,040. The signs are simply repeated and added; where they sit on the line is a matter of layout, not value.
Babylonian
5 corner wedges (sixties place), 4 corner wedges (units place)
50 × 60 + 40 = 3040. 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
The mechanism the asteroid is named after explains orbits that resonances alone do not.
View 887 →Other connections
- is associated with887
why?
Strength 0.50, confidence "high".
Science
3040 Kozai honours Yoshihide Kozai, who described the secular oscillation exchanging inclination and eccentricity that bears his name and explains several unusual orbits.
DocumentedSciencePeriod: 1979–
Common questions
Is 3040 a prime number?
No, 3040 is not prime.
What are the factors of 3040?
The factors of 3040 are 1, 2, 4, 5, 8, 10, 16, 19, 20, 32, 38, 40, 76, 80, 95, 152, 160, 190, 304, 380, 608, 760, 1520, 3040.
What is 3040 in Roman numerals?
3040 in Roman numerals is MMMXL. XL is subtractive: ten before fifty — fifty minus ten. Written additively it would be MMMXXXX, which Roman inscriptions used freely — the strict subtractive form is a later convention.
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