42552
42552 is a even composite number that follows 42551 and precedes 42553. It is composed of 32 distinct factors: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 197, 216, 394, 591, 788, 1182, 1576, 1773, 2364, 3546, 4728, 5319, 7092, 10638, 14184, 21276, 42552. Its prime factorization can be written as 2^3 × 3^3 × 197. 42552 is classified as a abundant number based on the sum of its proper divisors. In computer science, 42552 is represented as 1010011000111000 in binary and A638 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 3^3 × 197) reveals 7 prime building blocks.
Divisible by 2
42552 ends in 2, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
42552 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
42552 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 42552 within several notable number theory sequences:
Timeline
Deep dive
How 42552 breaks down
42552 carries 32 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 76248, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010011000111000 supports bitwise reasoning, hexadecimal A638 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 42552 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 42552 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (42547–42557) to tune search ranges, and educators feature 42552 in worksheets about factor trees. Its binary footprint of length 16 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 42552 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 42552
Is 42552 a prime number?
42552 is composite with 32 total factors and the prime factorization 2^3 × 3^3 × 197.
What is the prime factorization of 42552?
It breaks down as 2^3 × 3^3 × 197, multiplying the primes 2 × 2 × 2 × 3 × 3 × 3 × 197.
How is 42552 represented in binary and hexadecimal?
42552 converts to 1010011000111000 in binary and A638 in hexadecimal, which are helpful for computer science applications.
Is 42552 a perfect square, cube, or triangular number?
42552 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 42552?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.