4024
4024 is a even composite number that follows 4023 and precedes 4025. It is composed of 8 distinct factors: 1, 2, 4, 8, 503, 1006, 2012, 4024. Its prime factorization can be written as 2^3 × 503. 4024 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4024 is represented as 111110111000 in binary and FB8 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2^3 × 503) reveals 4 prime building blocks.
Divisible by 2
4024 ends in 4, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 24 form a multiple of 4.
Divisible by 5
4024 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 10 is not a multiple of 9.
Divisible by 10
4024 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 4024 within several notable number theory sequences:
Timeline
Deep dive
How 4024 breaks down
4024 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 3536, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111110111000 supports bitwise reasoning, hexadecimal FB8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4024 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4024 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4019–4029) to tune search ranges, and educators feature 4024 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 4024 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 4024
Is 4024 a prime number?
4024 is composite with 8 total factors and the prime factorization 2^3 × 503.
What is the prime factorization of 4024?
It breaks down as 2^3 × 503, multiplying the primes 2 × 2 × 2 × 503.
How is 4024 represented in binary and hexadecimal?
4024 converts to 111110111000 in binary and FB8 in hexadecimal, which are helpful for computer science applications.
Is 4024 a perfect square, cube, or triangular number?
4024 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4024?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.