4664
4664 is a even composite number that follows 4663 and precedes 4665. It is composed of 16 distinct factors: 1, 2, 4, 8, 11, 22, 44, 53, 88, 106, 212, 424, 583, 1166, 2332, 4664. Its prime factorization can be written as 2^3 × 11 × 53. 4664 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4664 is represented as 1001000111000 in binary and 1238 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2^3 × 11 × 53) reveals 5 prime building blocks.
Divisible by 2
4664 ends in 4, so it is even.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 64 form a multiple of 4.
Divisible by 5
4664 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 20 is not a multiple of 9.
Divisible by 10
4664 does not end in 0.
Divisible by 11
The alternating digit sum 0 is a multiple of 11.
Abundant classification and digit analytics place 4664 within several notable number theory sequences:
Timeline
Deep dive
How 4664 breaks down
4664 carries 16 distinct factors and a digit signature of 20 (2 as the digital root). The abundant classification indicates that its proper divisors sum to 5056, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001000111000 supports bitwise reasoning, hexadecimal 1238 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4664 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4664 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4659–4669) to tune search ranges, and educators feature 4664 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 4664 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 4664
Is 4664 a prime number?
4664 is composite with 16 total factors and the prime factorization 2^3 × 11 × 53.
What is the prime factorization of 4664?
It breaks down as 2^3 × 11 × 53, multiplying the primes 2 × 2 × 2 × 11 × 53.
How is 4664 represented in binary and hexadecimal?
4664 converts to 1001000111000 in binary and 1238 in hexadecimal, which are helpful for computer science applications.
Is 4664 a perfect square, cube, or triangular number?
4664 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4664?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.