1889
1889 is a odd prime number that follows 1888 and precedes 1890. As a prime number, 1889 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1889. 1889 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1889 is represented as 11101100001 in binary and 761 in hexadecimal. Historically, it is written as MDCCCLXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
1889 is prime, so its only factors are 1 and 1889.
Divisible by 2
1889 ends in 9, so it is odd.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
1889 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 26 is not a multiple of 9.
Divisible by 10
1889 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 1889 within several notable number theory sequences:
Timeline
Deep dive
How 1889 breaks down
1889 carries 2 distinct factors and a digit signature of 26 (8 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 11101100001 supports bitwise reasoning, hexadecimal 761 aligns with computing notation, and the Roman numeral MDCCCLXXXIX keeps the encyclopedic tradition alive. These attributes make 1889 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1889 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1884–1894) to tune search ranges, and educators feature 1889 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 1889 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 1889
Is 1889 a prime number?
1889 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1889?
1889 is already prime, so the factorization is simply 1889.
How is 1889 represented in binary and hexadecimal?
1889 converts to 11101100001 in binary and 761 in hexadecimal, which are helpful for computer science applications.
Is 1889 a perfect square, cube, or triangular number?
1889 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1889?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.