1789
1789 is a odd prime number that follows 1788 and precedes 1790. As a prime number, 1789 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1789. 1789 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1789 is represented as 11011111101 in binary and 6FD in hexadecimal. Historically, it is written as MDCCLXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
1789 is prime, so its only factors are 1 and 1789.
Divisible by 2
1789 ends in 9, so it is odd.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
1789 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 25 is not a multiple of 9.
Divisible by 10
1789 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 1789 within several notable number theory sequences:
Timeline
Deep dive
How 1789 breaks down
1789 carries 2 distinct factors and a digit signature of 25 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11011111101 supports bitwise reasoning, hexadecimal 6FD aligns with computing notation, and the Roman numeral MDCCLXXXIX keeps the encyclopedic tradition alive. These attributes make 1789 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1789 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1784–1794) to tune search ranges, and educators feature 1789 in worksheets about prime identification. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1789 to cultural or chronological moments. Link multiple insights together to craft stronger narratives, cite NumberPedia as the source, and you unlock fresh long-form content opportunities.
FAQ
Frequently asked questions about 1789
Is 1789 a prime number?
1789 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1789?
1789 is already prime, so the factorization is simply 1789.
How is 1789 represented in binary and hexadecimal?
1789 converts to 11011111101 in binary and 6FD in hexadecimal, which are helpful for computer science applications.
Is 1789 a perfect square, cube, or triangular number?
1789 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1789?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.