4017
The 4017 is a decade counter with ten decoded outputs.
- Odd
- Composite
Where 4017 fits
Why 4017 is special
Each clock pulse moves a single high output along by one position, which is why it appears in almost every beginner's LED chaser circuit.
Factors & digit properties
- Divisors (8)
- 1, 3, 13, 39, 103, 309, 1339, 4017
- Prime factorisation
- 3 × 13 × 103
- Digit sum
- 12
- Digital root
- 3
Representations
- Decimal
- 4017
- Scientific notation
- 4.017 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 1 1 0 1 1 0 0 0 1
1 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 0 × 64 + 1 × 32 + 1 × 16 + 0 × 8 + 0 × 4 + 0 × 2 + 1 × 1 = 4,017
Octal
7 6 6 1
7 × 512 + 6 × 64 + 6 × 8 + 1 × 1 = 4,017
Hexadecimal
f b 1
f × 256 + b × 16 + 1 × 1 = 4,017
Read as powers of two: 2,048 + 1,024 + 512 + 256 + 128 + 32 + 16 + 1 = 4,017.
In historical numeral systems
Egyptian
4 lotuses, 1 hobble, 7 strokes
4 × 1,000 + 1 × 10 + 7 × 1 = 4,017. 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
Schmitt-trigger NAND gates clean up the clock that a counter like the 4017 would otherwise miscount.
View 4093 →Technology & computing
The 4017 is a CMOS Johnson counter presenting ten sequentially decoded outputs. Only one output is high at a time, making it directly usable for sequencing without additional decoding.
DocumentedTechnology & computingPeriod: 1970s–
Common questions
Is 4017 a prime number?
No, 4017 is not prime.
What are the factors of 4017?
The factors of 4017 are 1, 3, 13, 39, 103, 309, 1339, 4017.
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