2721
2721 is a odd composite number that follows 2720 and precedes 2722. It is composed of 4 distinct factors: 1, 3, 907, 2721. Its prime factorization can be written as 3 × 907. 2721 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2721 is represented as 101010100001 in binary and AA1 in hexadecimal. Historically, it is written as MMDCCXXI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 907) reveals 2 prime building blocks.
Divisible by 2
2721 ends in 1, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
2721 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 12 is not a multiple of 9.
Divisible by 10
2721 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 2721 within several notable number theory sequences:
Timeline
Deep dive
How 2721 breaks down
2721 carries 4 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 911, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010100001 supports bitwise reasoning, hexadecimal AA1 aligns with computing notation, and the Roman numeral MMDCCXXI keeps the encyclopedic tradition alive. These attributes make 2721 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2721 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2716–2726) to tune search ranges, and educators feature 2721 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 2721 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 2721
Is 2721 a prime number?
2721 is composite with 4 total factors and the prime factorization 3 × 907.
What is the prime factorization of 2721?
It breaks down as 3 × 907, multiplying the primes 3 × 907.
How is 2721 represented in binary and hexadecimal?
2721 converts to 101010100001 in binary and AA1 in hexadecimal, which are helpful for computer science applications.
Is 2721 a perfect square, cube, or triangular number?
2721 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2721?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.