2928
2928 is a even composite number that follows 2927 and precedes 2929. It is composed of 20 distinct factors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 61, 122, 183, 244, 366, 488, 732, 976, 1464, 2928. Its prime factorization can be written as 2^4 × 3 × 61. 2928 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2928 is represented as 101101110000 in binary and B70 in hexadecimal. Historically, it is written as MMCMXXVIII in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 3 × 61) reveals 6 prime building blocks.
Divisible by 2
2928 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
2928 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 21 is not a multiple of 9.
Divisible by 10
2928 does not end in 0.
Divisible by 11
The alternating digit sum -13 is not a multiple of 11.
Abundant classification and digit analytics place 2928 within several notable number theory sequences:
Timeline
Deep dive
How 2928 breaks down
2928 carries 20 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 4760, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101110000 supports bitwise reasoning, hexadecimal B70 aligns with computing notation, and the Roman numeral MMCMXXVIII keeps the encyclopedic tradition alive. These attributes make 2928 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2928 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2923–2933) to tune search ranges, and educators feature 2928 in worksheets about factor trees. Its binary footprint of length 12 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 2928 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 2928
Is 2928 a prime number?
2928 is composite with 20 total factors and the prime factorization 2^4 × 3 × 61.
What is the prime factorization of 2928?
It breaks down as 2^4 × 3 × 61, multiplying the primes 2 × 2 × 2 × 2 × 3 × 61.
How is 2928 represented in binary and hexadecimal?
2928 converts to 101101110000 in binary and B70 in hexadecimal, which are helpful for computer science applications.
Is 2928 a perfect square, cube, or triangular number?
2928 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2928?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.