2352
2352 is a even composite number that follows 2351 and precedes 2353. It is composed of 30 distinct factors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 49, 56, 84, 98, 112, 147, 168, 196, 294, 336, 392, 588, 784, 1176, 2352. Its prime factorization can be written as 2^4 × 3 × 7^2. 2352 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2352 is represented as 100100110000 in binary and 930 in hexadecimal. Historically, it is written as MMCCCLII in Roman numerals.
Factor Analysis
30 FactorsProperties
The prime factorization (2^4 × 3 × 7^2) reveals 7 prime building blocks.
Divisible by 2
2352 ends in 2, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
2352 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 12 is not a multiple of 9.
Divisible by 10
2352 does not end in 0.
Divisible by 11
The alternating digit sum 2 is not a multiple of 11.
Abundant classification and digit analytics place 2352 within several notable number theory sequences:
Timeline
Deep dive
How 2352 breaks down
2352 carries 30 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 4716, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100100110000 supports bitwise reasoning, hexadecimal 930 aligns with computing notation, and the Roman numeral MMCCCLII keeps the encyclopedic tradition alive. These attributes make 2352 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2352 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2347–2357) to tune search ranges, and educators feature 2352 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, Abundant numbers) help historians, numerologists, and trivia writers tie 2352 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 2352
Is 2352 a prime number?
2352 is composite with 30 total factors and the prime factorization 2^4 × 3 × 7^2.
What is the prime factorization of 2352?
It breaks down as 2^4 × 3 × 7^2, multiplying the primes 2 × 2 × 2 × 2 × 3 × 7 × 7.
How is 2352 represented in binary and hexadecimal?
2352 converts to 100100110000 in binary and 930 in hexadecimal, which are helpful for computer science applications.
Is 2352 a perfect square, cube, or triangular number?
2352 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2352?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.