2739
2739 is a odd composite number that follows 2738 and precedes 2740. It is composed of 8 distinct factors: 1, 3, 11, 33, 83, 249, 913, 2739. Its prime factorization can be written as 3 × 11 × 83. 2739 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2739 is represented as 101010110011 in binary and AB3 in hexadecimal. Historically, it is written as MMDCCXXXIX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (3 × 11 × 83) reveals 3 prime building blocks.
Divisible by 2
2739 ends in 9, so it is odd.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 39 are not divisible by 4.
Divisible by 5
2739 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 21 is not a multiple of 9.
Divisible by 10
2739 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 2739 within several notable number theory sequences:
Timeline
Deep dive
How 2739 breaks down
2739 carries 8 distinct factors and a digit signature of 21 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 1293, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010110011 supports bitwise reasoning, hexadecimal AB3 aligns with computing notation, and the Roman numeral MMDCCXXXIX keeps the encyclopedic tradition alive. These attributes make 2739 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2739 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2734–2744) to tune search ranges, and educators feature 2739 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 2739 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 2739
Is 2739 a prime number?
2739 is composite with 8 total factors and the prime factorization 3 × 11 × 83.
What is the prime factorization of 2739?
It breaks down as 3 × 11 × 83, multiplying the primes 3 × 11 × 83.
How is 2739 represented in binary and hexadecimal?
2739 converts to 101010110011 in binary and AB3 in hexadecimal, which are helpful for computer science applications.
Is 2739 a perfect square, cube, or triangular number?
2739 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2739?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.