4920
4920 is a even composite number that follows 4919 and precedes 4921. It is composed of 32 distinct factors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 41, 60, 82, 120, 123, 164, 205, 246, 328, 410, 492, 615, 820, 984, 1230, 1640, 2460, 4920. Its prime factorization can be written as 2^3 × 3 × 5 × 41. 4920 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4920 is represented as 1001100111000 in binary and 1338 in hexadecimal.
Factor Analysis
32 FactorsProperties
The prime factorization (2^3 × 3 × 5 × 41) reveals 6 prime building blocks.
Divisible by 2
4920 ends in 0, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
4920 ends in 0, so it is divisible by 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 15 is not a multiple of 9.
Divisible by 10
4920 ends in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Abundant classification and digit analytics place 4920 within several notable number theory sequences:
Timeline
Deep dive
How 4920 breaks down
4920 carries 32 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 10200, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001100111000 supports bitwise reasoning, hexadecimal 1338 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4920 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4920 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4915–4925) to tune search ranges, and educators feature 4920 in worksheets about factor trees. Its binary footprint of length 13 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 4920 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 4920
Is 4920 a prime number?
4920 is composite with 32 total factors and the prime factorization 2^3 × 3 × 5 × 41.
What is the prime factorization of 4920?
It breaks down as 2^3 × 3 × 5 × 41, multiplying the primes 2 × 2 × 2 × 3 × 5 × 41.
How is 4920 represented in binary and hexadecimal?
4920 converts to 1001100111000 in binary and 1338 in hexadecimal, which are helpful for computer science applications.
Is 4920 a perfect square, cube, or triangular number?
4920 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4920?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.