2720
2720 is a even composite number that follows 2719 and precedes 2721. It is composed of 24 distinct factors: 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 68, 80, 85, 136, 160, 170, 272, 340, 544, 680, 1360, 2720. Its prime factorization can be written as 2^5 × 5 × 17. 2720 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2720 is represented as 101010100000 in binary and AA0 in hexadecimal. Historically, it is written as MMDCCXX in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^5 × 5 × 17) reveals 7 prime building blocks.
Divisible by 2
2720 ends in 0, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
2720 ends in 0, so it is divisible by 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 11 is not a multiple of 9.
Divisible by 10
2720 ends in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 2720 within several notable number theory sequences:
Timeline
Deep dive
How 2720 breaks down
2720 carries 24 distinct factors and a digit signature of 11 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 4084, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010100000 supports bitwise reasoning, hexadecimal AA0 aligns with computing notation, and the Roman numeral MMDCCXX keeps the encyclopedic tradition alive. These attributes make 2720 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2720 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2715–2725) to tune search ranges, and educators feature 2720 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2720 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 2720
Is 2720 a prime number?
2720 is composite with 24 total factors and the prime factorization 2^5 × 5 × 17.
What is the prime factorization of 2720?
It breaks down as 2^5 × 5 × 17, multiplying the primes 2 × 2 × 2 × 2 × 2 × 5 × 17.
How is 2720 represented in binary and hexadecimal?
2720 converts to 101010100000 in binary and AA0 in hexadecimal, which are helpful for computer science applications.
Is 2720 a perfect square, cube, or triangular number?
2720 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2720?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.