2949
2949 is a odd composite number that follows 2948 and precedes 2950. It is composed of 4 distinct factors: 1, 3, 983, 2949. Its prime factorization can be written as 3 × 983. 2949 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2949 is represented as 101110000101 in binary and B85 in hexadecimal. Historically, it is written as MMCMXLIX in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 983) reveals 2 prime building blocks.
Divisible by 2
2949 ends in 9, so it is odd.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 49 are not divisible by 4.
Divisible by 5
2949 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 24 is not a multiple of 9.
Divisible by 10
2949 does not end in 0.
Divisible by 11
The alternating digit sum -12 is not a multiple of 11.
Deficient classification and digit analytics place 2949 within several notable number theory sequences:
Timeline
Deep dive
How 2949 breaks down
2949 carries 4 distinct factors and a digit signature of 24 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 987, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110000101 supports bitwise reasoning, hexadecimal B85 aligns with computing notation, and the Roman numeral MMCMXLIX keeps the encyclopedic tradition alive. These attributes make 2949 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2949 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2944–2954) to tune search ranges, and educators feature 2949 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 2949 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 2949
Is 2949 a prime number?
2949 is composite with 4 total factors and the prime factorization 3 × 983.
What is the prime factorization of 2949?
It breaks down as 3 × 983, multiplying the primes 3 × 983.
How is 2949 represented in binary and hexadecimal?
2949 converts to 101110000101 in binary and B85 in hexadecimal, which are helpful for computer science applications.
Is 2949 a perfect square, cube, or triangular number?
2949 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2949?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.