2988
2988 is a even composite number that follows 2987 and precedes 2989. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 83, 166, 249, 332, 498, 747, 996, 1494, 2988. Its prime factorization can be written as 2^2 × 3^2 × 83. 2988 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2988 is represented as 101110101100 in binary and BAC in hexadecimal. Historically, it is written as MMCMLXXXVIII in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 83) reveals 5 prime building blocks.
Divisible by 2
2988 ends in 8, so it is even.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
2988 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 27 is a multiple of 9.
Divisible by 10
2988 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Abundant classification and digit analytics place 2988 within several notable number theory sequences:
Timeline
Deep dive
How 2988 breaks down
2988 carries 18 distinct factors and a digit signature of 27 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 4656, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110101100 supports bitwise reasoning, hexadecimal BAC aligns with computing notation, and the Roman numeral MMCMLXXXVIII keeps the encyclopedic tradition alive. These attributes make 2988 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2988 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2983–2993) to tune search ranges, and educators feature 2988 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2988 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 2988
Is 2988 a prime number?
2988 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 83.
What is the prime factorization of 2988?
It breaks down as 2^2 × 3^2 × 83, multiplying the primes 2 × 2 × 3 × 3 × 83.
How is 2988 represented in binary and hexadecimal?
2988 converts to 101110101100 in binary and BAC in hexadecimal, which are helpful for computer science applications.
Is 2988 a perfect square, cube, or triangular number?
2988 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2988?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.