4273
4273 is a odd prime number that follows 4272 and precedes 4274. As a prime number, 4273 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4273. 4273 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4273 is represented as 1000010110001 in binary and 10B1 in hexadecimal.
Factor Analysis
2 FactorsProperties
4273 is prime, so its only factors are 1 and 4273.
Divisible by 2
4273 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 73 are not divisible by 4.
Divisible by 5
4273 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
4273 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Deficient classification and digit analytics place 4273 within several notable number theory sequences:
Timeline
Deep dive
How 4273 breaks down
4273 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 1000010110001 supports bitwise reasoning, hexadecimal 10B1 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4273 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4273 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4268–4278) to tune search ranges, and educators feature 4273 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 4273 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 4273
Is 4273 a prime number?
4273 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4273?
4273 is already prime, so the factorization is simply 4273.
How is 4273 represented in binary and hexadecimal?
4273 converts to 1000010110001 in binary and 10B1 in hexadecimal, which are helpful for computer science applications.
Is 4273 a perfect square, cube, or triangular number?
4273 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4273?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.