74,595
The 74595 is an eight-bit serial-in, parallel-out shift register.
- Odd
- Composite
Where 74,595 fits
Why 74,595 is special
It converts three microcontroller pins into eight outputs, and chaining them makes it eight more per chip, which is why hobby electronics reaches for it constantly.
Factors & digit properties
- Divisors (8)
- 1, 3, 5, 15, 4973, 14919, 24865, 74595
- Prime factorisation
- 3 × 5 × 4973
- Digit sum
- 30
- Digital root
- 3
Representations
- Decimal
- 74595
- Scientific notation
- 7.460 × 10^4
Roman numerals
Roman numerals as modelled here goes up to 3,999.
Binary
1 0 0 1 0 0 0 1 1 0 1 1 0 0 0 1 1
1 × 65,536 + 0 × 32,768 + 0 × 16,384 + 1 × 8,192 + 0 × 4,096 + 0 × 2,048 + 0 × 1,024 + 1 × 512 + 1 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 0 × 4 + 1 × 2 + 1 × 1 = 74,595
Octal
2 2 1 5 4 3
2 × 32,768 + 2 × 4,096 + 1 × 512 + 5 × 64 + 4 × 8 + 3 × 1 = 74,595
Hexadecimal
1 2 3 6 3
1 × 65,536 + 2 × 4,096 + 3 × 256 + 6 × 16 + 3 × 1 = 74,595
Read as powers of two: 65,536 + 8,192 + 512 + 256 + 64 + 32 + 2 + 1 = 74,595.
In historical numeral systems
Egyptian
7 fingers, 4 lotuses, 5 coils of rope, 9 hobbles, 5 strokes
7 × 10,000 + 4 × 1,000 + 5 × 100 + 9 × 10 + 5 × 1 = 74,595. 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
- Lucky number (mathematical sieve)
Related numbers & connections
One expands a few pins into many outputs and the other narrows many address lines into one selection, which are opposite jobs on the same bus.
View 74138 →Other connections
- contrasts with74138
why?
Strength 0.50, confidence "high".
Technology & computing
The 74595 shifts serial data into a register and latches it to eight parallel outputs. Devices can be daisy-chained so a fixed three-pin interface drives an arbitrary number of outputs.
DocumentedTechnology & computingPeriod: 1980s–
Common questions
Is 74,595 a prime number?
No, 74,595 is not prime.
What are the factors of 74,595?
The factors of 74,595 are 1, 3, 5, 15, 4973, 14919, 24865, 74595.
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