544
544 is a even composite number that follows 543 and precedes 545. It is composed of 12 distinct factors: 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544. Its prime factorization can be written as 2^5 × 17. 544 is classified as a abundant number based on the sum of its proper divisors. In computer science, 544 is represented as 1000100000 in binary and 220 in hexadecimal. Historically, it is written as DXLIV in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2^5 × 17) reveals 6 prime building blocks.
Divisible by 2
544 ends in 4, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 44 form a multiple of 4.
Divisible by 5
544 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 13 is not a multiple of 9.
Divisible by 10
544 does not end in 0.
Divisible by 11
The alternating digit sum 5 is not a multiple of 11.
Abundant classification and digit analytics place 544 within several notable number theory sequences:
Timeline
Deep dive
How 544 breaks down
544 carries 12 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 590, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000100000 supports bitwise reasoning, hexadecimal 220 aligns with computing notation, and the Roman numeral DXLIV keeps the encyclopedic tradition alive. These attributes make 544 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 544 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (539–549) to tune search ranges, and educators feature 544 in worksheets about factor trees. Its binary footprint of length 10 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 544 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 544
Is 544 a prime number?
544 is composite with 12 total factors and the prime factorization 2^5 × 17.
What is the prime factorization of 544?
It breaks down as 2^5 × 17, multiplying the primes 2 × 2 × 2 × 2 × 2 × 17.
How is 544 represented in binary and hexadecimal?
544 converts to 1000100000 in binary and 220 in hexadecimal, which are helpful for computer science applications.
Is 544 a perfect square, cube, or triangular number?
544 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 544?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.