55648
55648 is a even composite number that follows 55647 and precedes 55649. It is composed of 24 distinct factors: 1, 2, 4, 8, 16, 32, 37, 47, 74, 94, 148, 188, 296, 376, 592, 752, 1184, 1504, 1739, 3478, 6956, 13912, 27824, 55648. Its prime factorization can be written as 2^5 × 37 × 47. 55648 is classified as a abundant number based on the sum of its proper divisors. In computer science, 55648 is represented as 1101100101100000 in binary and D960 in hexadecimal.
Factor Analysis
24 FactorsProperties
The prime factorization (2^5 × 37 × 47) reveals 7 prime building blocks.
Divisible by 2
55648 ends in 8, so it is even.
Divisible by 3
The digit sum 28 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
55648 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 28 is not a multiple of 9.
Divisible by 10
55648 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Abundant classification and digit analytics place 55648 within several notable number theory sequences:
Timeline
Deep dive
How 55648 breaks down
55648 carries 24 distinct factors and a digit signature of 28 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 59264, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100101100000 supports bitwise reasoning, hexadecimal D960 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55648 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55648 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55643–55653) to tune search ranges, and educators feature 55648 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 55648 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 55648
Is 55648 a prime number?
55648 is composite with 24 total factors and the prime factorization 2^5 × 37 × 47.
What is the prime factorization of 55648?
It breaks down as 2^5 × 37 × 47, multiplying the primes 2 × 2 × 2 × 2 × 2 × 37 × 47.
How is 55648 represented in binary and hexadecimal?
55648 converts to 1101100101100000 in binary and D960 in hexadecimal, which are helpful for computer science applications.
Is 55648 a perfect square, cube, or triangular number?
55648 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55648?
The digits sum to 28, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.