5723
5723 is a odd composite number that follows 5722 and precedes 5724. It is composed of 4 distinct factors: 1, 59, 97, 5723. Its prime factorization can be written as 59 × 97. 5723 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5723 is represented as 1011001011011 in binary and 165B in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (59 × 97) reveals 2 prime building blocks.
Divisible by 2
5723 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 23 are not divisible by 4.
Divisible by 5
5723 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
5723 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 5723 within several notable number theory sequences:
Timeline
Deep dive
How 5723 breaks down
5723 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 157, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001011011 supports bitwise reasoning, hexadecimal 165B aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5723 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5723 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5718–5728) to tune search ranges, and educators feature 5723 in worksheets about factor trees. Its binary footprint of length 13 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 5723 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 5723
Is 5723 a prime number?
5723 is composite with 4 total factors and the prime factorization 59 × 97.
What is the prime factorization of 5723?
It breaks down as 59 × 97, multiplying the primes 59 × 97.
How is 5723 represented in binary and hexadecimal?
5723 converts to 1011001011011 in binary and 165B in hexadecimal, which are helpful for computer science applications.
Is 5723 a perfect square, cube, or triangular number?
5723 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5723?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.