4374
4374 is a even composite number that follows 4373 and precedes 4375. It is composed of 16 distinct factors: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458, 2187, 4374. Its prime factorization can be written as 2 × 3^7. 4374 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4374 is represented as 1000100010110 in binary and 1116 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3^7) reveals 8 prime building blocks.
Divisible by 2
4374 ends in 4, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 74 are not divisible by 4.
Divisible by 5
4374 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 18 is a multiple of 9.
Divisible by 10
4374 does not end in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Abundant classification and digit analytics place 4374 within several notable number theory sequences:
Timeline
Deep dive
How 4374 breaks down
4374 carries 16 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 5466, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100010110 supports bitwise reasoning, hexadecimal 1116 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4374 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4374 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4369–4379) to tune search ranges, and educators feature 4374 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, Abundant numbers) help historians, numerologists, and trivia writers tie 4374 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 4374
Is 4374 a prime number?
4374 is composite with 16 total factors and the prime factorization 2 × 3^7.
What is the prime factorization of 4374?
It breaks down as 2 × 3^7, multiplying the primes 2 × 3 × 3 × 3 × 3 × 3 × 3 × 3.
How is 4374 represented in binary and hexadecimal?
4374 converts to 1000100010110 in binary and 1116 in hexadecimal, which are helpful for computer science applications.
Is 4374 a perfect square, cube, or triangular number?
4374 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4374?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.