4642
4642 is a even composite number that follows 4641 and precedes 4643. It is composed of 8 distinct factors: 1, 2, 11, 22, 211, 422, 2321, 4642. Its prime factorization can be written as 2 × 11 × 211. 4642 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4642 is represented as 1001000100010 in binary and 1222 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 11 × 211) reveals 3 prime building blocks.
Divisible by 2
4642 ends in 2, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 42 are not divisible by 4.
Divisible by 5
4642 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 16 is not a multiple of 9.
Divisible by 10
4642 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Deficient classification and digit analytics place 4642 within several notable number theory sequences:
Timeline
Deep dive
How 4642 breaks down
4642 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 2990, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001000100010 supports bitwise reasoning, hexadecimal 1222 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4642 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4642 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4637–4647) to tune search ranges, and educators feature 4642 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 4642 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 4642
Is 4642 a prime number?
4642 is composite with 8 total factors and the prime factorization 2 × 11 × 211.
What is the prime factorization of 4642?
It breaks down as 2 × 11 × 211, multiplying the primes 2 × 11 × 211.
How is 4642 represented in binary and hexadecimal?
4642 converts to 1001000100010 in binary and 1222 in hexadecimal, which are helpful for computer science applications.
Is 4642 a perfect square, cube, or triangular number?
4642 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4642?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.