3713
3713 is a odd composite number that follows 3712 and precedes 3714. It is composed of 4 distinct factors: 1, 47, 79, 3713. Its prime factorization can be written as 47 × 79. 3713 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3713 is represented as 111010000001 in binary and E81 in hexadecimal. Historically, it is written as MMMDCCXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (47 × 79) reveals 2 prime building blocks.
Divisible by 2
3713 ends in 3, so it is odd.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
3713 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 14 is not a multiple of 9.
Divisible by 10
3713 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 3713 within several notable number theory sequences:
Timeline
Deep dive
How 3713 breaks down
3713 carries 4 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 127, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111010000001 supports bitwise reasoning, hexadecimal E81 aligns with computing notation, and the Roman numeral MMMDCCXIII keeps the encyclopedic tradition alive. These attributes make 3713 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3713 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3708–3718) to tune search ranges, and educators feature 3713 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 3713 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 3713
Is 3713 a prime number?
3713 is composite with 4 total factors and the prime factorization 47 × 79.
What is the prime factorization of 3713?
It breaks down as 47 × 79, multiplying the primes 47 × 79.
How is 3713 represented in binary and hexadecimal?
3713 converts to 111010000001 in binary and E81 in hexadecimal, which are helpful for computer science applications.
Is 3713 a perfect square, cube, or triangular number?
3713 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3713?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.