3721
3721 is a odd composite number that follows 3720 and precedes 3722. It is composed of 3 distinct factors: 1, 61, 3721. Its prime factorization can be written as 61^2. 3721 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3721 is represented as 111010001001 in binary and E89 in hexadecimal. Historically, it is written as MMMDCCXXI in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
3 FactorsProperties
The prime factorization (61^2) reveals 2 prime building blocks.
Divisible by 2
3721 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 21 are not divisible by 4.
Divisible by 5
3721 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 13 is not a multiple of 9.
Divisible by 10
3721 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 3721 within several notable number theory sequences:
Timeline
Deep dive
How 3721 breaks down
3721 carries 3 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 62, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010001001 supports bitwise reasoning, hexadecimal E89 aligns with computing notation, and the Roman numeral MMMDCCXXI keeps the encyclopedic tradition alive. These attributes make 3721 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3721 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3716–3726) to tune search ranges, and educators feature 3721 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, Perfect squares) help historians, numerologists, and trivia writers tie 3721 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 3721
Is 3721 a prime number?
3721 is composite with 3 total factors and the prime factorization 61^2.
What is the prime factorization of 3721?
It breaks down as 61^2, multiplying the primes 61 × 61.
How is 3721 represented in binary and hexadecimal?
3721 converts to 111010001001 in binary and E89 in hexadecimal, which are helpful for computer science applications.
Is 3721 a perfect square, cube, or triangular number?
3721 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3721?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.