1723
1723 is a odd prime number that follows 1722 and precedes 1724. As a prime number, 1723 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 1723. 1723 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1723 is represented as 11010111011 in binary and 6BB in hexadecimal. Historically, it is written as MDCCXXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
1723 is prime, so its only factors are 1 and 1723.
Divisible by 2
1723 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 23 are not divisible by 4.
Divisible by 5
1723 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 13 is not a multiple of 9.
Divisible by 10
1723 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 1723 within several notable number theory sequences:
Timeline
Deep dive
How 1723 breaks down
1723 carries 2 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010111011 supports bitwise reasoning, hexadecimal 6BB aligns with computing notation, and the Roman numeral MDCCXXIII keeps the encyclopedic tradition alive. These attributes make 1723 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1723 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1718–1728) to tune search ranges, and educators feature 1723 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 1723 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 1723
Is 1723 a prime number?
1723 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 1723?
1723 is already prime, so the factorization is simply 1723.
How is 1723 represented in binary and hexadecimal?
1723 converts to 11010111011 in binary and 6BB in hexadecimal, which are helpful for computer science applications.
Is 1723 a perfect square, cube, or triangular number?
1723 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1723?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.