1617
1617 is the year Napier published his work on calculating rods.
- Odd
- Composite
Where 1617 fits
Why 1617 is special
Napier's bones mechanised multiplication for people who could not do it mentally. The principle later appeared in mechanical calculators and eventually in the slide rule's logarithmic scales.
Factors & digit properties
- Divisors (12)
- 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617
- Prime factorisation
- 3 × 7^2 × 11
- Digit sum
- 15
- Digital root
- 6
Representations
- Decimal
- 1617
- Binary
- 11001010001
- Octal
- 3121
- Hexadecimal
- 651
- Roman numeral
- MDCXVII
- Scientific notation
- 1.617 × 10^3
Other mathematical patterns
- Deficient number
- Pentagonal number
Related numbers & connections
Napier's rods mechanised multiplication by hand in 1617; Leibniz's stepped drum of 1671 mechanised it in a machine, and that mechanism was still in calculators three centuries later.
View 1671 →Technology & computing
Napier's rods let a user multiply by arranging numbered strips and reading off partial products. It is an early example of moving arithmetic from the head into a physical device.
DocumentedTechnology & computingGeography: ScotlandPeriod: 1617
Common questions
Is 1617 a prime number?
No, 1617 is not prime.
What are the factors of 1617?
The factors of 1617 are 1, 3, 7, 11, 21, 33, 49, 77, 147, 231, 539, 1617.
What is 1617 in Roman numerals?
1617 in Roman numerals is MDCXVII.
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