1725
1725 is a odd composite number that follows 1724 and precedes 1726. It is composed of 12 distinct factors: 1, 3, 5, 15, 23, 25, 69, 75, 115, 345, 575, 1725. Its prime factorization can be written as 3 × 5^2 × 23. 1725 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1725 is represented as 11010111101 in binary and 6BD in hexadecimal. Historically, it is written as MDCCXXV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (3 × 5^2 × 23) reveals 4 prime building blocks.
Divisible by 2
1725 ends in 5, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
1725 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 15 is not a multiple of 9.
Divisible by 10
1725 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Deficient classification and digit analytics place 1725 within several notable number theory sequences:
Timeline
Deep dive
How 1725 breaks down
1725 carries 12 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 1251, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010111101 supports bitwise reasoning, hexadecimal 6BD aligns with computing notation, and the Roman numeral MDCCXXV keeps the encyclopedic tradition alive. These attributes make 1725 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1725 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1720–1730) to tune search ranges, and educators feature 1725 in worksheets about factor trees. Its binary footprint of length 11 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 1725 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 1725
Is 1725 a prime number?
1725 is composite with 12 total factors and the prime factorization 3 × 5^2 × 23.
What is the prime factorization of 1725?
It breaks down as 3 × 5^2 × 23, multiplying the primes 3 × 5 × 5 × 23.
How is 1725 represented in binary and hexadecimal?
1725 converts to 11010111101 in binary and 6BD in hexadecimal, which are helpful for computer science applications.
Is 1725 a perfect square, cube, or triangular number?
1725 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1725?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.