3738
3738 is a even composite number that follows 3737 and precedes 3739. It is composed of 16 distinct factors: 1, 2, 3, 6, 7, 14, 21, 42, 89, 178, 267, 534, 623, 1246, 1869, 3738. Its prime factorization can be written as 2 × 3 × 7 × 89. 3738 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3738 is represented as 111010011010 in binary and E9A in hexadecimal. Historically, it is written as MMMDCCXXXVIII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 7 × 89) reveals 4 prime building blocks.
Divisible by 2
3738 ends in 8, so it is even.
Divisible by 3
The digit sum 21 is a multiple of 3.
Divisible by 4
The last two digits 38 are not divisible by 4.
Divisible by 5
3738 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 21 is not a multiple of 9.
Divisible by 10
3738 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Abundant classification and digit analytics place 3738 within several notable number theory sequences:
Timeline
Deep dive
How 3738 breaks down
3738 carries 16 distinct factors and a digit signature of 21 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 4902, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010011010 supports bitwise reasoning, hexadecimal E9A aligns with computing notation, and the Roman numeral MMMDCCXXXVIII keeps the encyclopedic tradition alive. These attributes make 3738 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3738 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3733–3743) to tune search ranges, and educators feature 3738 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, Abundant numbers) help historians, numerologists, and trivia writers tie 3738 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 3738
Is 3738 a prime number?
3738 is composite with 16 total factors and the prime factorization 2 × 3 × 7 × 89.
What is the prime factorization of 3738?
It breaks down as 2 × 3 × 7 × 89, multiplying the primes 2 × 3 × 7 × 89.
How is 3738 represented in binary and hexadecimal?
3738 converts to 111010011010 in binary and E9A in hexadecimal, which are helpful for computer science applications.
Is 3738 a perfect square, cube, or triangular number?
3738 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3738?
The digits sum to 21, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.