4789
4789 is a odd prime number that follows 4788 and precedes 4790. As a prime number, 4789 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4789. 4789 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4789 is represented as 1001010110101 in binary and 12B5 in hexadecimal.
Factor Analysis
2 FactorsProperties
4789 is prime, so its only factors are 1 and 4789.
Divisible by 2
4789 ends in 9, so it is odd.
Divisible by 3
The digit sum 28 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
4789 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 28 is not a multiple of 9.
Divisible by 10
4789 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 4789 within several notable number theory sequences:
Timeline
Deep dive
How 4789 breaks down
4789 carries 2 distinct factors and a digit signature of 28 (1 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 1001010110101 supports bitwise reasoning, hexadecimal 12B5 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4789 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4789 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4784–4794) to tune search ranges, and educators feature 4789 in worksheets about prime identification. Its binary footprint of length 13 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 4789 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 4789
Is 4789 a prime number?
4789 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4789?
4789 is already prime, so the factorization is simply 4789.
How is 4789 represented in binary and hexadecimal?
4789 converts to 1001010110101 in binary and 12B5 in hexadecimal, which are helpful for computer science applications.
Is 4789 a perfect square, cube, or triangular number?
4789 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4789?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.