4641
4641 is a odd composite number that follows 4640 and precedes 4642. It is composed of 16 distinct factors: 1, 3, 7, 13, 17, 21, 39, 51, 91, 119, 221, 273, 357, 663, 1547, 4641. Its prime factorization can be written as 3 × 7 × 13 × 17. 4641 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4641 is represented as 1001000100001 in binary and 1221 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (3 × 7 × 13 × 17) reveals 4 prime building blocks.
Divisible by 2
4641 ends in 1, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 41 are not divisible by 4.
Divisible by 5
4641 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 15 is not a multiple of 9.
Divisible by 10
4641 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 4641 within several notable number theory sequences:
Timeline
Deep dive
How 4641 breaks down
4641 carries 16 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 3423, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001000100001 supports bitwise reasoning, hexadecimal 1221 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4641 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4641 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4636–4646) to tune search ranges, and educators feature 4641 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, Deficient numbers) help historians, numerologists, and trivia writers tie 4641 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 4641
Is 4641 a prime number?
4641 is composite with 16 total factors and the prime factorization 3 × 7 × 13 × 17.
What is the prime factorization of 4641?
It breaks down as 3 × 7 × 13 × 17, multiplying the primes 3 × 7 × 13 × 17.
How is 4641 represented in binary and hexadecimal?
4641 converts to 1001000100001 in binary and 1221 in hexadecimal, which are helpful for computer science applications.
Is 4641 a perfect square, cube, or triangular number?
4641 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4641?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.