4720
4720 is a even composite number that follows 4719 and precedes 4721. It is composed of 20 distinct factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 59, 80, 118, 236, 295, 472, 590, 944, 1180, 2360, 4720. Its prime factorization can be written as 2^4 × 5 × 59. 4720 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4720 is represented as 1001001110000 in binary and 1270 in hexadecimal.
Factor Analysis
20 FactorsProperties
The prime factorization (2^4 × 5 × 59) reveals 6 prime building blocks.
Divisible by 2
4720 ends in 0, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 20 form a multiple of 4.
Divisible by 5
4720 ends in 0, so it is divisible by 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
4720 ends in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Abundant classification and digit analytics place 4720 within several notable number theory sequences:
Timeline
Deep dive
How 4720 breaks down
4720 carries 20 distinct factors and a digit signature of 13 (4 as the digital root). The abundant classification indicates that its proper divisors sum to 6440, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001110000 supports bitwise reasoning, hexadecimal 1270 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4720 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4720 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4715–4725) to tune search ranges, and educators feature 4720 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 4720 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 4720
Is 4720 a prime number?
4720 is composite with 20 total factors and the prime factorization 2^4 × 5 × 59.
What is the prime factorization of 4720?
It breaks down as 2^4 × 5 × 59, multiplying the primes 2 × 2 × 2 × 2 × 5 × 59.
How is 4720 represented in binary and hexadecimal?
4720 converts to 1001001110000 in binary and 1270 in hexadecimal, which are helpful for computer science applications.
Is 4720 a perfect square, cube, or triangular number?
4720 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4720?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.