4708
4708 is a even composite number that follows 4707 and precedes 4709. It is composed of 12 distinct factors: 1, 2, 4, 11, 22, 44, 107, 214, 428, 1177, 2354, 4708. Its prime factorization can be written as 2^2 × 11 × 107. 4708 is classified as a deficient number based on the sum of its proper divisors. In computer science, 4708 is represented as 1001001100100 in binary and 1264 in hexadecimal.
Factor Analysis
12 FactorsProperties
The prime factorization (2^2 × 11 × 107) reveals 4 prime building blocks.
Divisible by 2
4708 ends in 8, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 08 form a multiple of 4.
Divisible by 5
4708 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
4708 does not end in 0.
Divisible by 11
The alternating digit sum -11 is a multiple of 11.
Deficient classification and digit analytics place 4708 within several notable number theory sequences:
Timeline
Deep dive
How 4708 breaks down
4708 carries 12 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 4364, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001001100100 supports bitwise reasoning, hexadecimal 1264 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4708 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4708 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4703–4713) to tune search ranges, and educators feature 4708 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 4708 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 4708
Is 4708 a prime number?
4708 is composite with 12 total factors and the prime factorization 2^2 × 11 × 107.
What is the prime factorization of 4708?
It breaks down as 2^2 × 11 × 107, multiplying the primes 2 × 2 × 11 × 107.
How is 4708 represented in binary and hexadecimal?
4708 converts to 1001001100100 in binary and 1264 in hexadecimal, which are helpful for computer science applications.
Is 4708 a perfect square, cube, or triangular number?
4708 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4708?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.