2729
2729 is a odd prime number that follows 2728 and precedes 2730. As a prime number, 2729 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2729. 2729 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2729 is represented as 101010101001 in binary and AA9 in hexadecimal. Historically, it is written as MMDCCXXIX in Roman numerals.
Factor Analysis
2 FactorsProperties
2729 is prime, so its only factors are 1 and 2729.
Divisible by 2
2729 ends in 9, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 29 are not divisible by 4.
Divisible by 5
2729 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 20 is not a multiple of 9.
Divisible by 10
2729 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 2729 within several notable number theory sequences:
Timeline
Deep dive
How 2729 breaks down
2729 carries 2 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010101001 supports bitwise reasoning, hexadecimal AA9 aligns with computing notation, and the Roman numeral MMDCCXXIX keeps the encyclopedic tradition alive. These attributes make 2729 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2729 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2724–2734) to tune search ranges, and educators feature 2729 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2729 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 2729
Is 2729 a prime number?
2729 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2729?
2729 is already prime, so the factorization is simply 2729.
How is 2729 represented in binary and hexadecimal?
2729 converts to 101010101001 in binary and AA9 in hexadecimal, which are helpful for computer science applications.
Is 2729 a perfect square, cube, or triangular number?
2729 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2729?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.