2722
2722 is a even composite number that follows 2721 and precedes 2723. It is composed of 4 distinct factors: 1, 2, 1361, 2722. Its prime factorization can be written as 2 × 1361. 2722 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2722 is represented as 101010100010 in binary and AA2 in hexadecimal. Historically, it is written as MMDCCXXII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 1361) reveals 2 prime building blocks.
Divisible by 2
2722 ends in 2, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
2722 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 13 is not a multiple of 9.
Divisible by 10
2722 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 2722 within several notable number theory sequences:
Timeline
Deep dive
How 2722 breaks down
2722 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1364, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010100010 supports bitwise reasoning, hexadecimal AA2 aligns with computing notation, and the Roman numeral MMDCCXXII keeps the encyclopedic tradition alive. These attributes make 2722 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2722 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2717–2727) to tune search ranges, and educators feature 2722 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 2722 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 2722
Is 2722 a prime number?
2722 is composite with 4 total factors and the prime factorization 2 × 1361.
What is the prime factorization of 2722?
It breaks down as 2 × 1361, multiplying the primes 2 × 1361.
How is 2722 represented in binary and hexadecimal?
2722 converts to 101010100010 in binary and AA2 in hexadecimal, which are helpful for computer science applications.
Is 2722 a perfect square, cube, or triangular number?
2722 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2722?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.