55952
55952 is a even composite number that follows 55951 and precedes 55953. It is composed of 20 distinct factors: 1, 2, 4, 8, 13, 16, 26, 52, 104, 208, 269, 538, 1076, 2152, 3497, 4304, 6994, 13988, 27976, 55952. Its prime factorization can be written as 2^4 × 13 × 269. 55952 is classified as a abundant number based on the sum of its proper divisors. In computer science, 55952 is represented as 1101101010010000 in binary and DA90 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 13 × 269) reveals 6 prime building blocks.
Divisible by 2
55952 ends in 2, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 52 form a multiple of 4.
Divisible by 5
55952 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 26 is not a multiple of 9.
Divisible by 10
55952 does not end in 0.
Divisible by 11
The alternating digit sum 6 is not a multiple of 11.
Abundant classification and digit analytics place 55952 within several notable number theory sequences:
Timeline
Deep dive
How 55952 breaks down
55952 carries 20 distinct factors and a digit signature of 26 (8 as the digital root). The abundant classification indicates that its proper divisors sum to 61228, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101101010010000 supports bitwise reasoning, hexadecimal DA90 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55952 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55952 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55947–55957) to tune search ranges, and educators feature 55952 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 55952 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 55952
Is 55952 a prime number?
55952 is composite with 20 total factors and the prime factorization 2^4 × 13 × 269.
What is the prime factorization of 55952?
It breaks down as 2^4 × 13 × 269, multiplying the primes 2 × 2 × 2 × 2 × 13 × 269.
How is 55952 represented in binary and hexadecimal?
55952 converts to 1101101010010000 in binary and DA90 in hexadecimal, which are helpful for computer science applications.
Is 55952 a perfect square, cube, or triangular number?
55952 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55952?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.