55448
55448 is a even composite number that follows 55447 and precedes 55449. It is composed of 16 distinct factors: 1, 2, 4, 8, 29, 58, 116, 232, 239, 478, 956, 1912, 6931, 13862, 27724, 55448. Its prime factorization can be written as 2^3 × 29 × 239. 55448 is classified as a deficient number based on the sum of its proper divisors. In computer science, 55448 is represented as 1101100010011000 in binary and D898 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 29 × 239) reveals 5 prime building blocks.
Divisible by 2
55448 ends in 8, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
55448 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
55448 does not end in 0.
Divisible by 11
The alternating digit sum 8 is not a multiple of 11.
Deficient classification and digit analytics place 55448 within several notable number theory sequences:
Timeline
Deep dive
How 55448 breaks down
55448 carries 16 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 52552, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100010011000 supports bitwise reasoning, hexadecimal D898 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55448 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55448 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55443–55453) to tune search ranges, and educators feature 55448 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, Deficient numbers) help historians, numerologists, and trivia writers tie 55448 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 55448
Is 55448 a prime number?
55448 is composite with 16 total factors and the prime factorization 2^3 × 29 × 239.
What is the prime factorization of 55448?
It breaks down as 2^3 × 29 × 239, multiplying the primes 2 × 2 × 2 × 29 × 239.
How is 55448 represented in binary and hexadecimal?
55448 converts to 1101100010011000 in binary and D898 in hexadecimal, which are helpful for computer science applications.
Is 55448 a perfect square, cube, or triangular number?
55448 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55448?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.