4027
4027 is a odd prime number that follows 4026 and precedes 4028. As a prime number, 4027 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 4027. 4027 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4027 is represented as 111110111011 in binary and FBB in hexadecimal.
Factor Analysis
2 FactorsProperties
4027 is prime, so its only factors are 1 and 4027.
Divisible by 2
4027 ends in 7, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 27 are not divisible by 4.
Divisible by 5
4027 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 13 is not a multiple of 9.
Divisible by 10
4027 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 4027 within several notable number theory sequences:
Timeline
Deep dive
How 4027 breaks down
4027 carries 2 distinct factors and a digit signature of 13 (4 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 111110111011 supports bitwise reasoning, hexadecimal FBB aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4027 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4027 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4022–4032) to tune search ranges, and educators feature 4027 in worksheets about prime identification. Its binary footprint of length 12 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 4027 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 4027
Is 4027 a prime number?
4027 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 4027?
4027 is already prime, so the factorization is simply 4027.
How is 4027 represented in binary and hexadecimal?
4027 converts to 111110111011 in binary and FBB in hexadecimal, which are helpful for computer science applications.
Is 4027 a perfect square, cube, or triangular number?
4027 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4027?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.