4938
4938 is a even composite number that follows 4937 and precedes 4939. It is composed of 8 distinct factors: 1, 2, 3, 6, 823, 1646, 2469, 4938. Its prime factorization can be written as 2 × 3 × 823. 4938 is classified as a abundant number based on the sum of its proper divisors. In computer science, 4938 is represented as 1001101001010 in binary and 134A in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 823) reveals 3 prime building blocks.
Divisible by 2
4938 ends in 8, so it is even.
Divisible by 3
The digit sum 24 is a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
4938 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 24 is not a multiple of 9.
Divisible by 10
4938 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Abundant classification and digit analytics place 4938 within several notable number theory sequences:
Timeline
Deep dive
How 4938 breaks down
4938 carries 8 distinct factors and a digit signature of 24 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 4950, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1001101001010 supports bitwise reasoning, hexadecimal 134A aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 4938 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 4938 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (4933–4943) to tune search ranges, and educators feature 4938 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 4938 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 4938
Is 4938 a prime number?
4938 is composite with 8 total factors and the prime factorization 2 × 3 × 823.
What is the prime factorization of 4938?
It breaks down as 2 × 3 × 823, multiplying the primes 2 × 3 × 823.
How is 4938 represented in binary and hexadecimal?
4938 converts to 1001101001010 in binary and 134A in hexadecimal, which are helpful for computer science applications.
Is 4938 a perfect square, cube, or triangular number?
4938 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 4938?
The digits sum to 24, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.