Numberwise

4017

The 4017 is a decade counter with ten decoded outputs.

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Where 4017 fits

Where 4017 fits: Related numbersRelated numbers: 4093, 555, 4046.Related numbers409355540464017
4017 connects to 1 world: related numbers.

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
Binary
111110110001
Octal
7661
Hexadecimal
fb1
Scientific notation
4.017 × 10^3

Other mathematical patterns

  • Deficient number

Related numbers & connections

Connection
Schmitt-trigger NAND gates clean up the clock that a counter like the 4017 would otherwise miscount.

Schmitt-trigger NAND gates clean up the clock that a counter like the 4017 would otherwise miscount.

View 4093 →

Other connections

  • is associated with4093
    why?

    Strength 0.50, confidence "high".

  • is associated with555
    why?

    Strength 0.50, confidence "high".

  • is associated with4046
    why?

    Strength 0.50, confidence "high".

How is 4017 connected to another number? →

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: 3 August 2026