3701
3701 is a odd prime number that follows 3700 and precedes 3702. As a prime number, 3701 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 3701. 3701 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3701 is represented as 111001110101 in binary and E75 in hexadecimal. Historically, it is written as MMMDCCI in Roman numerals.
Factor Analysis
2 FactorsProperties
3701 is prime, so its only factors are 1 and 3701.
Divisible by 2
3701 ends in 1, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
3701 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 11 is not a multiple of 9.
Divisible by 10
3701 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 3701 within several notable number theory sequences:
Timeline
Deep dive
How 3701 breaks down
3701 carries 2 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111001110101 supports bitwise reasoning, hexadecimal E75 aligns with computing notation, and the Roman numeral MMMDCCI keeps the encyclopedic tradition alive. These attributes make 3701 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3701 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3696–3706) to tune search ranges, and educators feature 3701 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 3701 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 3701
Is 3701 a prime number?
3701 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 3701?
3701 is already prime, so the factorization is simply 3701.
How is 3701 represented in binary and hexadecimal?
3701 converts to 111001110101 in binary and E75 in hexadecimal, which are helpful for computer science applications.
Is 3701 a perfect square, cube, or triangular number?
3701 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3701?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.