3552
3552 is a even composite number that follows 3551 and precedes 3553. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 37, 48, 74, 96, 111, 148, 222, 296, 444, 592, 888, 1184, 1776, 3552. Its prime factorization can be written as 2^5 × 3 × 37. 3552 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3552 is represented as 110111100000 in binary and DE0 in hexadecimal. Historically, it is written as MMMDLII in Roman numerals.
Factor Analysis
24 FactorsProperties
The prime factorization (2^5 × 3 × 37) reveals 7 prime building blocks.
Divisible by 2
3552 ends in 2, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
3552 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 15 is not a multiple of 9.
Divisible by 10
3552 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Abundant classification and digit analytics place 3552 within several notable number theory sequences:
Timeline
Deep dive
How 3552 breaks down
3552 carries 24 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 6024, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 110111100000 supports bitwise reasoning, hexadecimal DE0 aligns with computing notation, and the Roman numeral MMMDLII keeps the encyclopedic tradition alive. These attributes make 3552 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3552 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3547–3557) to tune search ranges, and educators feature 3552 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 3552 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 3552
Is 3552 a prime number?
3552 is composite with 24 total factors and the prime factorization 2^5 × 3 × 37.
What is the prime factorization of 3552?
It breaks down as 2^5 × 3 × 37, multiplying the primes 2 × 2 × 2 × 2 × 2 × 3 × 37.
How is 3552 represented in binary and hexadecimal?
3552 converts to 110111100000 in binary and DE0 in hexadecimal, which are helpful for computer science applications.
Is 3552 a perfect square, cube, or triangular number?
3552 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3552?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.