2984
2984 is a even composite number that follows 2983 and precedes 2985. It is composed of 8 distinct factors: 1, 2, 4, 8, 373, 746, 1492, 2984. Its prime factorization can be written as 2^3 × 373. 2984 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2984 is represented as 101110101000 in binary and BA8 in hexadecimal. Historically, it is written as MMCMLXXXIV in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 373) reveals 4 prime building blocks.
Divisible by 2
2984 ends in 4, so it is even.
Divisible by 3
The digit sum 23 is not a multiple of 3.
Divisible by 4
The last two digits 84 form a multiple of 4.
Divisible by 5
2984 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 23 is not a multiple of 9.
Divisible by 10
2984 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 2984 within several notable number theory sequences:
Timeline
Deep dive
How 2984 breaks down
2984 carries 8 distinct factors and a digit signature of 23 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 2626, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110101000 supports bitwise reasoning, hexadecimal BA8 aligns with computing notation, and the Roman numeral MMCMLXXXIV keeps the encyclopedic tradition alive. These attributes make 2984 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2984 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2979–2989) to tune search ranges, and educators feature 2984 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 2984 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 2984
Is 2984 a prime number?
2984 is composite with 8 total factors and the prime factorization 2^3 × 373.
What is the prime factorization of 2984?
It breaks down as 2^3 × 373, multiplying the primes 2 × 2 × 2 × 373.
How is 2984 represented in binary and hexadecimal?
2984 converts to 101110101000 in binary and BA8 in hexadecimal, which are helpful for computer science applications.
Is 2984 a perfect square, cube, or triangular number?
2984 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2984?
The digits sum to 23, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.