989
989 is a odd composite number that follows 988 and precedes 990. It is composed of 4 distinct factors: 1, 23, 43, 989. Its prime factorization can be written as 23 × 43. 989 is classified as a deficient number based on the sum of its proper divisors. In computer science, 989 is represented as 1111011101 in binary and 3DD in hexadecimal. Historically, it is written as CMLXXXIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (23 × 43) reveals 2 prime building blocks.
Divisible by 2
989 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
989 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
989 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 989 within several notable number theory sequences:
Timeline
Deep dive
How 989 breaks down
989 carries 4 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 67, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111011101 supports bitwise reasoning, hexadecimal 3DD aligns with computing notation, and the Roman numeral CMLXXXIX keeps the encyclopedic tradition alive. These attributes make 989 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 989 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (984–994) to tune search ranges, and educators feature 989 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 989 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 989
Is 989 a prime number?
989 is composite with 4 total factors and the prime factorization 23 × 43.
What is the prime factorization of 989?
It breaks down as 23 × 43, multiplying the primes 23 × 43.
How is 989 represented in binary and hexadecimal?
989 converts to 1111011101 in binary and 3DD in hexadecimal, which are helpful for computer science applications.
Is 989 a perfect square, cube, or triangular number?
989 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 989?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.