789
789 is a odd composite number that follows 788 and precedes 790. It is composed of 4 distinct factors: 1, 3, 263, 789. Its prime factorization can be written as 3 × 263. 789 is classified as a deficient number based on the sum of its proper divisors. In computer science, 789 is represented as 1100010101 in binary and 315 in hexadecimal. Historically, it is written as DCCLXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 263) reveals 2 prime building blocks.
Divisible by 2
789 ends in 9, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
789 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 24 is not a multiple of 9.
Divisible by 10
789 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 789 within several notable number theory sequences:
Timeline
Deep dive
How 789 breaks down
789 carries 4 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 267, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1100010101 supports bitwise reasoning, hexadecimal 315 aligns with computing notation, and the Roman numeral DCCLXXXIX keeps the encyclopedic tradition alive. These attributes make 789 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 789 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (784–794) to tune search ranges, and educators feature 789 in worksheets about factor trees. Its binary footprint of length 10 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 789 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 789
Is 789 a prime number?
789 is composite with 4 total factors and the prime factorization 3 × 263.
What is the prime factorization of 789?
It breaks down as 3 × 263, multiplying the primes 3 × 263.
How is 789 represented in binary and hexadecimal?
789 converts to 1100010101 in binary and 315 in hexadecimal, which are helpful for computer science applications.
Is 789 a perfect square, cube, or triangular number?
789 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 789?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.