74,181
The 74181 was the first arithmetic logic unit on a single chip.
- Odd
- Composite
Where 74,181 fits
Why 74,181 is special
It performed sixteen arithmetic and sixteen logic operations, and minicomputers of the 1970s were built from several wired together. It is the component that made a processor's core assemblable from parts.
Factors & digit properties
- Divisors (8)
- 1, 3, 79, 237, 313, 939, 24727, 74181
- Prime factorisation
- 3 × 79 × 313
- Digit sum
- 21
- Digital root
- 3
Representations
- Decimal
- 74181
- Scientific notation
- 7.418 × 10^4
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 1 0 0 0 0 1 1 1 0 0 0 1 0 1
1 × 65,536 + 0 × 32,768 + 0 × 16,384 + 1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 0 × 1,024 + 0 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 0 × 2 + 1 × 1 = 74,181
Octal
2 2 0 7 0 5
2 × 32,768 + 2 × 4,096 + 0 × 512 + 7 × 64 + 0 × 8 + 5 × 1 = 74,181
Hexadecimal
1 2 1 c 5
1 × 65,536 + 2 × 4,096 + 1 × 256 + c × 16 + 5 × 1 = 74,181
Read as powers of two: 65,536 + 8,192 + 256 + 128 + 64 + 4 + 1 = 74,181.
In historical numeral systems
Egyptian
7 fingers, 4 lotuses, 1 coil of rope, 8 hobbles, 1 stroke
7 × 10,000 + 4 × 1,000 + 1 × 100 + 8 × 10 + 1 × 1 = 74,181. 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
- Deficient number
Related numbers & connections
The 74181 put a computer's arithmetic unit in one package and the 4004 put an entire processor in one. Four years separate assembling a CPU from parts and buying it whole.
View 4004 →Technology & computing
Before the 74181, a computer's arithmetic unit was built from dozens of discrete gates. Putting it in one chip is a step between logic gates and microprocessors, and the machines that used it defined 1970s computing.
DocumentedTechnology & computingPeriod: 1970
Common questions
Is 74,181 a prime number?
No, 74,181 is not prime.
What are the factors of 74,181?
The factors of 74,181 are 1, 3, 79, 237, 313, 939, 24727, 74181.
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