4672
4672 is a even composite number that follows 4671 and precedes 4673. It is composed of 14 distinct factors: 1, 2, 4, 8, 16, 32, 64, 73, 146, 292, 584, 1168, 2336, 4672. Its prime factorization can be written as 2^6 × 73. 4672 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4672 is represented as 1001001000000 in binary and 1240 in hexadecimal.
Factor Analysis
14 FactorsProperties
The prime factorization (2^6 × 73) reveals 7 prime building blocks.
Divisible by 2
4672 ends in 2, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 72 form a multiple of 4.
Divisible by 5
4672 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 19 is not a multiple of 9.
Divisible by 10
4672 does not end in 0.
Divisible by 11
The alternating digit sum 3 is not a multiple of 11.
Abundant classification and digit analytics place 4672 within several notable number theory sequences:
Timeline
Deep dive
How 4672 breaks down
4672 carries 14 distinct factors and a digit signature of 19 (1 as the digital root). The abundant classification indicates that its proper divisors sum to 4726, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001000000 supports bitwise reasoning, hexadecimal 1240 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4672 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4672 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4667–4677) to tune search ranges, and educators feature 4672 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 4672 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 4672
Is 4672 a prime number?
4672 is composite with 14 total factors and the prime factorization 2^6 × 73.
What is the prime factorization of 4672?
It breaks down as 2^6 × 73, multiplying the primes 2 × 2 × 2 × 2 × 2 × 2 × 73.
How is 4672 represented in binary and hexadecimal?
4672 converts to 1001001000000 in binary and 1240 in hexadecimal, which are helpful for computer science applications.
Is 4672 a perfect square, cube, or triangular number?
4672 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4672?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.