4723
4723 is a odd prime number that follows 4722 and precedes 4724. As a prime number, 4723 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4723. 4723 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4723 is represented as 1001001110011 in binary and 1273 in hexadecimal.
Factor Analysis
2 FactorsProperties
4723 is prime, so its only factors are 1 and 4723.
Divisible by 2
4723 ends in 3, so it is odd.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 23 are not divisible by 4.
Divisible by 5
4723 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 16 is not a multiple of 9.
Divisible by 10
4723 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 4723 within several notable number theory sequences:
Timeline
Deep dive
How 4723 breaks down
4723 carries 2 distinct factors and a digit signature of 16 (7 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 1001001110011 supports bitwise reasoning, hexadecimal 1273 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4723 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4723 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4718–4728) to tune search ranges, and educators feature 4723 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 4723 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 4723
Is 4723 a prime number?
4723 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4723?
4723 is already prime, so the factorization is simply 4723.
How is 4723 represented in binary and hexadecimal?
4723 converts to 1001001110011 in binary and 1273 in hexadecimal, which are helpful for computer science applications.
Is 4723 a perfect square, cube, or triangular number?
4723 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4723?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.