2725
2725 is a odd composite number that follows 2724 and precedes 2726. It is composed of 6 distinct factors: 1, 5, 25, 109, 545, 2725. Its prime factorization can be written as 5^2 × 109. 2725 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2725 is represented as 101010100101 in binary and AA5 in hexadecimal. Historically, it is written as MMDCCXXV in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (5^2 × 109) reveals 3 prime building blocks.
Divisible by 2
2725 ends in 5, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
2725 ends in 5, 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 16 is not a multiple of 9.
Divisible by 10
2725 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 2725 within several notable number theory sequences:
Timeline
Deep dive
How 2725 breaks down
2725 carries 6 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 685, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010100101 supports bitwise reasoning, hexadecimal AA5 aligns with computing notation, and the Roman numeral MMDCCXXV keeps the encyclopedic tradition alive. These attributes make 2725 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2725 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2720–2730) to tune search ranges, and educators feature 2725 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 2725 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 2725
Is 2725 a prime number?
2725 is composite with 6 total factors and the prime factorization 5^2 × 109.
What is the prime factorization of 2725?
It breaks down as 5^2 × 109, multiplying the primes 5 × 5 × 109.
How is 2725 represented in binary and hexadecimal?
2725 converts to 101010100101 in binary and AA5 in hexadecimal, which are helpful for computer science applications.
Is 2725 a perfect square, cube, or triangular number?
2725 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2725?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.