8052
8052 is a even composite number that follows 8051 and precedes 8053. It is composed of 24 distinct factors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 61, 66, 122, 132, 183, 244, 366, 671, 732, 1342, 2013, 2684, 4026, 8052. Its prime factorization can be written as 2^2 × 3 × 11 × 61. 8052 is classified as a abundant number based on the sum of its proper divisors. In computer science, 8052 is represented as 1111101110100 in binary and 1F74 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^2 × 3 × 11 × 61) reveals 5 prime building blocks.
Divisible by 2
8052 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
8052 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
8052 does not end in 0.
Divisible by 11
The alternating digit sum 11 is a multiple of 11.
Abundant classification and digit analytics place 8052 within several notable number theory sequences:
Timeline
Deep dive
How 8052 breaks down
8052 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 12780, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1111101110100 supports bitwise reasoning, hexadecimal 1F74 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8052 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8052 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8047–8057) to tune search ranges, and educators feature 8052 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 8052 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 8052
Is 8052 a prime number?
8052 is composite with 24 total factors and the prime factorization 2^2 × 3 × 11 × 61.
What is the prime factorization of 8052?
It breaks down as 2^2 × 3 × 11 × 61, multiplying the primes 2 × 2 × 3 × 11 × 61.
How is 8052 represented in binary and hexadecimal?
8052 converts to 1111101110100 in binary and 1F74 in hexadecimal, which are helpful for computer science applications.
Is 8052 a perfect square, cube, or triangular number?
8052 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8052?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.