8738
8738 is a even composite number that follows 8737 and precedes 8739. It is composed of 8 distinct factors: 1, 2, 17, 34, 257, 514, 4369, 8738. Its prime factorization can be written as 2 × 17 × 257. 8738 is classified as a deficient number based on the sum of its proper divisors. In computer science, 8738 is represented as 10001000100010 in binary and 2222 in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 17 × 257) reveals 3 prime building blocks.
Divisible by 2
8738 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 38 are not divisible by 4.
Divisible by 5
8738 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
8738 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 8738 within several notable number theory sequences:
Timeline
Deep dive
How 8738 breaks down
8738 carries 8 distinct factors and a digit signature of 26 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 5194, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10001000100010 supports bitwise reasoning, hexadecimal 2222 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 8738 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 8738 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (8733–8743) to tune search ranges, and educators feature 8738 in worksheets about factor trees. Its binary footprint of length 14 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 8738 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 8738
Is 8738 a prime number?
8738 is composite with 8 total factors and the prime factorization 2 × 17 × 257.
What is the prime factorization of 8738?
It breaks down as 2 × 17 × 257, multiplying the primes 2 × 17 × 257.
How is 8738 represented in binary and hexadecimal?
8738 converts to 10001000100010 in binary and 2222 in hexadecimal, which are helpful for computer science applications.
Is 8738 a perfect square, cube, or triangular number?
8738 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 8738?
The digits sum to 26, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.