4046
The 4046 is a CMOS phase-locked loop.
- Even
- Composite
Where 4046 fits
Why 4046 is special
It made frequency synthesis cheap enough for consumer radios and televisions, replacing a separate crystal for every channel with one crystal and arithmetic.
4046 is part of
Factors & digit properties
- Divisors (12)
- 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046
- Prime factorisation
- 2 × 7 × 17^2
- Digit sum
- 14
- Digital root
- 5
Representations
- Decimal
- 4046
- Scientific notation
- 4.046 × 10^3
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 1 1 1 1 1 0 0 1 1 1 0
1 × 2,048 + 1 × 1,024 + 1 × 512 + 1 × 256 + 1 × 128 + 1 × 64 + 0 × 32 + 0 × 16 + 1 × 8 + 1 × 4 + 1 × 2 + 0 × 1 = 4,046
Octal
7 7 1 6
7 × 512 + 7 × 64 + 1 × 8 + 6 × 1 = 4,046
Hexadecimal
f c e
f × 256 + c × 16 + e × 1 = 4,046
Read as powers of two: 2,048 + 1,024 + 512 + 256 + 128 + 64 + 8 + 4 + 2 = 4,046.
In historical numeral systems
Egyptian
4 lotuses, 4 hobbles, 6 strokes
4 × 1,000 + 4 × 10 + 6 × 1 = 4,046. 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
- Happy number
- Harshad (Niven) number
Related numbers & connections
A phase-locked loop and a decade counter together divide and multiply frequencies, which is how synthesis without many crystals works.
View 4017 →Other connections
- is associated with4017
why?
Strength 0.50, confidence "high".
Technology & computing
The 4046 integrates a voltage-controlled oscillator and phase comparators in a single CMOS package, allowing an output frequency locked to a multiple of a reference.
DocumentedTechnology & computingPeriod: 1970s–
Common questions
Is 4046 a prime number?
No, 4046 is not prime.
What are the factors of 4046?
The factors of 4046 are 1, 2, 7, 14, 17, 34, 119, 238, 289, 578, 2023, 4046.
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