1730
1730 is a even composite number that follows 1729 and precedes 1731. It is composed of 8 distinct factors: 1, 2, 5, 10, 173, 346, 865, 1730. Its prime factorization can be written as 2 × 5 × 173. 1730 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1730 is represented as 11011000010 in binary and 6C2 in hexadecimal. Historically, it is written as MDCCXXX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 173) reveals 3 prime building blocks.
Divisible by 2
1730 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 30 are not divisible by 4.
Divisible by 5
1730 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
1730 ends in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 1730 within several notable number theory sequences:
Timeline
Deep dive
How 1730 breaks down
1730 carries 8 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1402, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11011000010 supports bitwise reasoning, hexadecimal 6C2 aligns with computing notation, and the Roman numeral MDCCXXX keeps the encyclopedic tradition alive. These attributes make 1730 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1730 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1725–1735) to tune search ranges, and educators feature 1730 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 1730 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 1730
Is 1730 a prime number?
1730 is composite with 8 total factors and the prime factorization 2 × 5 × 173.
What is the prime factorization of 1730?
It breaks down as 2 × 5 × 173, multiplying the primes 2 × 5 × 173.
How is 1730 represented in binary and hexadecimal?
1730 converts to 11011000010 in binary and 6C2 in hexadecimal, which are helpful for computer science applications.
Is 1730 a perfect square, cube, or triangular number?
1730 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1730?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.