4040
The Intel 4040 was the successor to the first microprocessor.
- Even
- Composite
Where 4040 fits
Why 4040 is special
It added interrupts — the ability for hardware to stop the processor and demand attention — which is what lets a computer respond to the world rather than only run to completion.
4040 is part of
Factors & digit properties
- Divisors (16)
- 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040
- Prime factorisation
- 2^3 × 5 × 101
- Digit sum
- 8
- Digital root
- 8
Representations
- Decimal
- 4040
- Scientific notation
- 4.040 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 1 1 1 0 0 1 0 0 0
1 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 0 × 1 = 4,040
Octal
7 7 1 0
7 × 512 + 7 × 64 + 1 × 8 + 0 × 1 = 4,040
Hexadecimal
f c 8
f × 256 + c × 16 + 8 × 1 = 4,040
Read as powers of two: 2,048 + 1,024 + 512 + 256 + 128 + 64 + 8 = 4,040.
In historical numeral systems
Egyptian
4 lotuses, 4 hobbles
4 × 1,000 + 4 × 10 = 4,040. 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
- Abundant number
- Happy number
- Harshad (Niven) number
Related numbers & connections
The 4040 added interrupts to the 4004's design, which is what lets a processor respond to events rather than only run to completion.
View 4004 →Other connections
- developed from4004
why?
Strength 0.50, confidence "high".
Technology & computing
The 4040 added interrupt handling to the 4004's design. Without interrupts a processor must poll for events; with them it can respond to a keypress or a timer, which is the basis of interactive computing.
DocumentedTechnology & computingPeriod: 1974
Common questions
Is 4040 a prime number?
No, 4040 is not prime.
What are the factors of 4040?
The factors of 4040 are 1, 2, 4, 5, 8, 10, 20, 40, 101, 202, 404, 505, 808, 1010, 2020, 4040.
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