3726
3726 is a even composite number that follows 3725 and precedes 3727. It is composed of 20 distinct factors: 1, 2, 3, 6, 9, 18, 23, 27, 46, 54, 69, 81, 138, 162, 207, 414, 621, 1242, 1863, 3726. Its prime factorization can be written as 2 × 3^4 × 23. 3726 is classified as a abundant number based on the sum of its proper divisors. In computer science, 3726 is represented as 111010001110 in binary and E8E in hexadecimal. Historically, it is written as MMMDCCXXVI in Roman numerals.
Factor Analysis
20 FactorsProperties
The prime factorization (2 × 3^4 × 23) reveals 6 prime building blocks.
Divisible by 2
3726 ends in 6, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 26 are not divisible by 4.
Divisible by 5
3726 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 18 is a multiple of 9.
Divisible by 10
3726 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Abundant classification and digit analytics place 3726 within several notable number theory sequences:
Timeline
Deep dive
How 3726 breaks down
3726 carries 20 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 4986, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010001110 supports bitwise reasoning, hexadecimal E8E aligns with computing notation, and the Roman numeral MMMDCCXXVI keeps the encyclopedic tradition alive. These attributes make 3726 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3726 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3721–3731) to tune search ranges, and educators feature 3726 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 3726 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 3726
Is 3726 a prime number?
3726 is composite with 20 total factors and the prime factorization 2 × 3^4 × 23.
What is the prime factorization of 3726?
It breaks down as 2 × 3^4 × 23, multiplying the primes 2 × 3 × 3 × 3 × 3 × 23.
How is 3726 represented in binary and hexadecimal?
3726 converts to 111010001110 in binary and E8E in hexadecimal, which are helpful for computer science applications.
Is 3726 a perfect square, cube, or triangular number?
3726 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3726?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.