2979
2979 is a odd composite number that follows 2978 and precedes 2980. It is composed of 6 distinct factors: 1, 3, 9, 331, 993, 2979. Its prime factorization can be written as 3^2 × 331. 2979 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2979 is represented as 101110100011 in binary and BA3 in hexadecimal. Historically, it is written as MMCMLXXIX in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 331) reveals 3 prime building blocks.
Divisible by 2
2979 ends in 9, so it is odd.
Divisible by 3
The digit sum 27 is a multiple of 3.
Divisible by 4
The last two digits 79 are not divisible by 4.
Divisible by 5
2979 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 27 is a multiple of 9.
Divisible by 10
2979 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 2979 within several notable number theory sequences:
Timeline
Deep dive
How 2979 breaks down
2979 carries 6 distinct factors and a digit signature of 27 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1337, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110100011 supports bitwise reasoning, hexadecimal BA3 aligns with computing notation, and the Roman numeral MMCMLXXIX keeps the encyclopedic tradition alive. These attributes make 2979 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2979 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2974–2984) to tune search ranges, and educators feature 2979 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 2979 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 2979
Is 2979 a prime number?
2979 is composite with 6 total factors and the prime factorization 3^2 × 331.
What is the prime factorization of 2979?
It breaks down as 3^2 × 331, multiplying the primes 3 × 3 × 331.
How is 2979 represented in binary and hexadecimal?
2979 converts to 101110100011 in binary and BA3 in hexadecimal, which are helpful for computer science applications.
Is 2979 a perfect square, cube, or triangular number?
2979 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2979?
The digits sum to 27, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.