1700
1700 is a even composite number that follows 1699 and precedes 1701. It is composed of 18 distinct factors: 1, 2, 4, 5, 10, 17, 20, 25, 34, 50, 68, 85, 100, 170, 340, 425, 850, 1700. Its prime factorization can be written as 2^2 × 5^2 × 17. 1700 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1700 is represented as 11010100100 in binary and 6A4 in hexadecimal. Historically, it is written as MDCC in Roman numerals.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 5^2 × 17) reveals 5 prime building blocks.
Divisible by 2
1700 ends in 0, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 00 form a multiple of 4.
Divisible by 5
1700 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 8 is not a multiple of 9.
Divisible by 10
1700 ends in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 1700 within several notable number theory sequences:
Timeline
Deep dive
How 1700 breaks down
1700 carries 18 distinct factors and a digit signature of 8 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 2206, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010100100 supports bitwise reasoning, hexadecimal 6A4 aligns with computing notation, and the Roman numeral MDCC keeps the encyclopedic tradition alive. These attributes make 1700 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1700 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1695–1705) to tune search ranges, and educators feature 1700 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, Abundant numbers) help historians, numerologists, and trivia writers tie 1700 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 1700
Is 1700 a prime number?
1700 is composite with 18 total factors and the prime factorization 2^2 × 5^2 × 17.
What is the prime factorization of 1700?
It breaks down as 2^2 × 5^2 × 17, multiplying the primes 2 × 2 × 5 × 5 × 17.
How is 1700 represented in binary and hexadecimal?
1700 converts to 11010100100 in binary and 6A4 in hexadecimal, which are helpful for computer science applications.
Is 1700 a perfect square, cube, or triangular number?
1700 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1700?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.