4688
4688 is a even composite number that follows 4687 and precedes 4689. It is composed of 10 distinct factors: 1, 2, 4, 8, 16, 293, 586, 1172, 2344, 4688. Its prime factorization can be written as 2^4 × 293. 4688 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4688 is represented as 1001001010000 in binary and 1250 in hexadecimal.
Factor Analysis
10 FactorsProperties
The prime factorization (2^4 × 293) reveals 5 prime building blocks.
Divisible by 2
4688 ends in 8, so it is even.
Divisible by 3
The digit sum 26 is not a multiple of 3.
Divisible by 4
The last two digits 88 form a multiple of 4.
Divisible by 5
4688 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 26 is not a multiple of 9.
Divisible by 10
4688 does not end in 0.
Divisible by 11
The alternating digit sum -2 is not a multiple of 11.
Deficient classification and digit analytics place 4688 within several notable number theory sequences:
Timeline
Deep dive
How 4688 breaks down
4688 carries 10 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 4426, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001010000 supports bitwise reasoning, hexadecimal 1250 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4688 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4688 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4683–4693) to tune search ranges, and educators feature 4688 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 4688 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 4688
Is 4688 a prime number?
4688 is composite with 10 total factors and the prime factorization 2^4 × 293.
What is the prime factorization of 4688?
It breaks down as 2^4 × 293, multiplying the primes 2 × 2 × 2 × 2 × 293.
How is 4688 represented in binary and hexadecimal?
4688 converts to 1001001010000 in binary and 1250 in hexadecimal, which are helpful for computer science applications.
Is 4688 a perfect square, cube, or triangular number?
4688 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4688?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.