1673
1673 is a odd composite number that follows 1672 and precedes 1674. It is composed of 4 distinct factors: 1, 7, 239, 1673. Its prime factorization can be written as 7 × 239. 1673 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1673 is represented as 11010001001 in binary and 689 in hexadecimal. Historically, it is written as MDCLXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (7 × 239) reveals 2 prime building blocks.
Divisible by 2
1673 ends in 3, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
1673 does not end in 0 or 5.
Divisible by 6
A number must be divisible by 2 and 3 to pass the 6-test.
Divisible by 9
The digit sum 17 is not a multiple of 9.
Divisible by 10
1673 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 1673 within several notable number theory sequences:
Timeline
Deep dive
How 1673 breaks down
1673 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 247, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010001001 supports bitwise reasoning, hexadecimal 689 aligns with computing notation, and the Roman numeral MDCLXXIII keeps the encyclopedic tradition alive. These attributes make 1673 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1673 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1668–1678) to tune search ranges, and educators feature 1673 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 1673 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 1673
Is 1673 a prime number?
1673 is composite with 4 total factors and the prime factorization 7 × 239.
What is the prime factorization of 1673?
It breaks down as 7 × 239, multiplying the primes 7 × 239.
How is 1673 represented in binary and hexadecimal?
1673 converts to 11010001001 in binary and 689 in hexadecimal, which are helpful for computer science applications.
Is 1673 a perfect square, cube, or triangular number?
1673 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1673?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.