2789
2789 is a odd prime number that follows 2788 and precedes 2790. As a prime number, 2789 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2789. 2789 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2789 is represented as 101011100101 in binary and AE5 in hexadecimal. Historically, it is written as MMDCCLXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
2789 is prime, so its only factors are 1 and 2789.
Divisible by 2
2789 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
2789 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
2789 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2789 within several notable number theory sequences:
Timeline
Deep dive
How 2789 breaks down
2789 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 101011100101 supports bitwise reasoning, hexadecimal AE5 aligns with computing notation, and the Roman numeral MMDCCLXXXIX keeps the encyclopedic tradition alive. These attributes make 2789 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2789 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2784–2794) to tune search ranges, and educators feature 2789 in worksheets about prime identification. Its binary footprint of length 12 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 2789 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 2789
Is 2789 a prime number?
2789 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2789?
2789 is already prime, so the factorization is simply 2789.
How is 2789 represented in binary and hexadecimal?
2789 converts to 101011100101 in binary and AE5 in hexadecimal, which are helpful for computer science applications.
Is 2789 a perfect square, cube, or triangular number?
2789 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2789?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.