389
389 is a odd prime number that follows 388 and precedes 390. As a prime number, 389 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 389. 389 is classified as a deficient number based on the sum of its proper divisors. In computer science, 389 is represented as 110000101 in binary and 185 in hexadecimal. Historically, it is written as CCCLXXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
389 is prime, so its only factors are 1 and 389.
Divisible by 2
389 ends in 9, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 89 are not divisible by 4.
Divisible by 5
389 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 20 is not a multiple of 9.
Divisible by 10
389 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 389 within several notable number theory sequences:
Timeline
Deep dive
How 389 breaks down
389 carries 2 distinct factors and a digit signature of 20 (2 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 110000101 supports bitwise reasoning, hexadecimal 185 aligns with computing notation, and the Roman numeral CCCLXXXIX keeps the encyclopedic tradition alive. These attributes make 389 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 389 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (384–394) to tune search ranges, and educators feature 389 in worksheets about prime identification. Its binary footprint of length 9 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 389 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 389
Is 389 a prime number?
389 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 389?
389 is already prime, so the factorization is simply 389.
How is 389 represented in binary and hexadecimal?
389 converts to 110000101 in binary and 185 in hexadecimal, which are helpful for computer science applications.
Is 389 a perfect square, cube, or triangular number?
389 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 389?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.