7423
7423 is a odd composite number that follows 7422 and precedes 7424. It is composed of 4 distinct factors: 1, 13, 571, 7423. Its prime factorization can be written as 13 × 571. 7423 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7423 is represented as 1110011111111 in binary and 1CFF in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 571) reveals 2 prime building blocks.
Divisible by 2
7423 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
7423 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
7423 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Deficient classification and digit analytics place 7423 within several notable number theory sequences:
Timeline
Deep dive
How 7423 breaks down
7423 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 585, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110011111111 supports bitwise reasoning, hexadecimal 1CFF aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7423 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7423 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7418–7428) to tune search ranges, and educators feature 7423 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 7423 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 7423
Is 7423 a prime number?
7423 is composite with 4 total factors and the prime factorization 13 × 571.
What is the prime factorization of 7423?
It breaks down as 13 × 571, multiplying the primes 13 × 571.
How is 7423 represented in binary and hexadecimal?
7423 converts to 1110011111111 in binary and 1CFF in hexadecimal, which are helpful for computer science applications.
Is 7423 a perfect square, cube, or triangular number?
7423 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7423?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.