2989
2989 is a odd composite number that follows 2988 and precedes 2990. It is composed of 6 distinct factors: 1, 7, 49, 61, 427, 2989. Its prime factorization can be written as 7^2 × 61. 2989 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2989 is represented as 101110101101 in binary and BAD in hexadecimal. Historically, it is written as MMCMLXXXIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (7^2 × 61) reveals 3 prime building blocks.
Divisible by 2
2989 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
2989 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
2989 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 2989 within several notable number theory sequences:
Timeline
Deep dive
How 2989 breaks down
2989 carries 6 distinct factors and a digit signature of 28 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 545, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110101101 supports bitwise reasoning, hexadecimal BAD aligns with computing notation, and the Roman numeral MMCMLXXXIX keeps the encyclopedic tradition alive. These attributes make 2989 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2989 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2984–2994) to tune search ranges, and educators feature 2989 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2989 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 2989
Is 2989 a prime number?
2989 is composite with 6 total factors and the prime factorization 7^2 × 61.
What is the prime factorization of 2989?
It breaks down as 7^2 × 61, multiplying the primes 7 × 7 × 61.
How is 2989 represented in binary and hexadecimal?
2989 converts to 101110101101 in binary and BAD in hexadecimal, which are helpful for computer science applications.
Is 2989 a perfect square, cube, or triangular number?
2989 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2989?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.