4352
4352 is a even composite number that follows 4351 and precedes 4353. It is composed of 18 distinct factors: 1, 2, 4, 8, 16, 17, 32, 34, 64, 68, 128, 136, 256, 272, 544, 1088, 2176, 4352. Its prime factorization can be written as 2^8 × 17. 4352 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4352 is represented as 1000100000000 in binary and 1100 in hexadecimal.
Factor Analysis
18 FactorsProperties
The prime factorization (2^8 × 17) reveals 9 prime building blocks.
Divisible by 2
4352 ends in 2, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
4352 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 14 is not a multiple of 9.
Divisible by 10
4352 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 4352 within several notable number theory sequences:
Timeline
Deep dive
How 4352 breaks down
4352 carries 18 distinct factors and a digit signature of 14 (5 as the digital root). The abundant classification indicates that its proper divisors sum to 4846, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100000000 supports bitwise reasoning, hexadecimal 1100 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4352 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4352 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4347–4357) to tune search ranges, and educators feature 4352 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 4352 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 4352
Is 4352 a prime number?
4352 is composite with 18 total factors and the prime factorization 2^8 × 17.
What is the prime factorization of 4352?
It breaks down as 2^8 × 17, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 17.
How is 4352 represented in binary and hexadecimal?
4352 converts to 1000100000000 in binary and 1100 in hexadecimal, which are helpful for computer science applications.
Is 4352 a perfect square, cube, or triangular number?
4352 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4352?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.