58552
58552 is a even composite number that follows 58551 and precedes 58553. It is composed of 16 distinct factors: 1, 2, 4, 8, 13, 26, 52, 104, 563, 1126, 2252, 4504, 7319, 14638, 29276, 58552. Its prime factorization can be written as 2^3 × 13 × 563. 58552 is classified as a abundant number based on the sum of its proper divisors. In computer science, 58552 is represented as 1110010010111000 in binary and E4B8 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 13 × 563) reveals 5 prime building blocks.
Divisible by 2
58552 ends in 2, so it is even.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
58552 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 25 is not a multiple of 9.
Divisible by 10
58552 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 58552 within several notable number theory sequences:
Timeline
Deep dive
How 58552 breaks down
58552 carries 16 distinct factors and a digit signature of 25 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 59888, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110010010111000 supports bitwise reasoning, hexadecimal E4B8 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 58552 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 58552 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (58547–58557) to tune search ranges, and educators feature 58552 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 58552 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 58552
Is 58552 a prime number?
58552 is composite with 16 total factors and the prime factorization 2^3 × 13 × 563.
What is the prime factorization of 58552?
It breaks down as 2^3 × 13 × 563, multiplying the primes 2 × 2 × 2 × 13 × 563.
How is 58552 represented in binary and hexadecimal?
58552 converts to 1110010010111000 in binary and E4B8 in hexadecimal, which are helpful for computer science applications.
Is 58552 a perfect square, cube, or triangular number?
58552 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 58552?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.