55744
55744 is a even composite number that follows 55743 and precedes 55745. It is composed of 28 distinct factors: 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 67, 104, 134, 208, 268, 416, 536, 832, 871, 1072, 1742, 2144, 3484, 4288, 6968, 13936, 27872, 55744. Its prime factorization can be written as 2^6 × 13 × 67. 55744 is classified as a abundant number based on the sum of its proper divisors. In computer science, 55744 is represented as 1101100111000000 in binary and D9C0 in hexadecimal.
Factor Analysis
28 FactorsProperties
The prime factorization (2^6 × 13 × 67) reveals 8 prime building blocks.
Divisible by 2
55744 ends in 4, so it is even.
Divisible by 3
The digit sum 25 is not a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
55744 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
55744 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Abundant classification and digit analytics place 55744 within several notable number theory sequences:
Timeline
Deep dive
How 55744 breaks down
55744 carries 28 distinct factors and a digit signature of 25 (7 as the digital root). The abundant classification indicates that its proper divisors sum to 65160, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1101100111000000 supports bitwise reasoning, hexadecimal D9C0 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 55744 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 55744 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (55739–55749) to tune search ranges, and educators feature 55744 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 55744 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 55744
Is 55744 a prime number?
55744 is composite with 28 total factors and the prime factorization 2^6 × 13 × 67.
What is the prime factorization of 55744?
It breaks down as 2^6 × 13 × 67, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 13 × 67.
How is 55744 represented in binary and hexadecimal?
55744 converts to 1101100111000000 in binary and D9C0 in hexadecimal, which are helpful for computer science applications.
Is 55744 a perfect square, cube, or triangular number?
55744 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 55744?
The digits sum to 25, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.