723
723 is a odd composite number that follows 722 and precedes 724. It is composed of 4 distinct factors: 1, 3, 241, 723. Its prime factorization can be written as 3 × 241. 723 is classified as a deficient number based on the sum of its proper divisors. In computer science, 723 is represented as 1011010011 in binary and 2D3 in hexadecimal. Historically, it is written as DCCXXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 241) reveals 2 prime building blocks.
Divisible by 2
723 ends in 3, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 23 are not divisible by 4.
Divisible by 5
723 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 12 is not a multiple of 9.
Divisible by 10
723 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 723 within several notable number theory sequences:
Timeline
Deep dive
How 723 breaks down
723 carries 4 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 245, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011010011 supports bitwise reasoning, hexadecimal 2D3 aligns with computing notation, and the Roman numeral DCCXXIII keeps the encyclopedic tradition alive. These attributes make 723 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 723 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (718–728) to tune search ranges, and educators feature 723 in worksheets about factor trees. Its binary footprint of length 10 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 723 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 723
Is 723 a prime number?
723 is composite with 4 total factors and the prime factorization 3 × 241.
What is the prime factorization of 723?
It breaks down as 3 × 241, multiplying the primes 3 × 241.
How is 723 represented in binary and hexadecimal?
723 converts to 1011010011 in binary and 2D3 in hexadecimal, which are helpful for computer science applications.
Is 723 a perfect square, cube, or triangular number?
723 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 723?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.