3748
3748 is a even composite number that follows 3747 and precedes 3749. It is composed of 6 distinct factors: 1, 2, 4, 937, 1874, 3748. Its prime factorization can be written as 2^2 × 937. 3748 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3748 is represented as 111010100100 in binary and EA4 in hexadecimal. Historically, it is written as MMMDCCXLVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 937) reveals 3 prime building blocks.
Divisible by 2
3748 ends in 8, so it is even.
Divisible by 3
The digit sum 22 is not a multiple of 3.
Divisible by 4
The last two digits 48 form a multiple of 4.
Divisible by 5
3748 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 22 is not a multiple of 9.
Divisible by 10
3748 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 3748 within several notable number theory sequences:
Timeline
Deep dive
How 3748 breaks down
3748 carries 6 distinct factors and a digit signature of 22 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 2818, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010100100 supports bitwise reasoning, hexadecimal EA4 aligns with computing notation, and the Roman numeral MMMDCCXLVIII keeps the encyclopedic tradition alive. These attributes make 3748 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3748 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3743–3753) to tune search ranges, and educators feature 3748 in worksheets about factor trees. Its binary footprint of length 12 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 3748 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 3748
Is 3748 a prime number?
3748 is composite with 6 total factors and the prime factorization 2^2 × 937.
What is the prime factorization of 3748?
It breaks down as 2^2 × 937, multiplying the primes 2 × 2 × 937.
How is 3748 represented in binary and hexadecimal?
3748 converts to 111010100100 in binary and EA4 in hexadecimal, which are helpful for computer science applications.
Is 3748 a perfect square, cube, or triangular number?
3748 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3748?
The digits sum to 22, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.