713
713 is a odd composite number that follows 712 and precedes 714. It is composed of 4 distinct factors: 1, 23, 31, 713. Its prime factorization can be written as 23 × 31. 713 is classified as a deficient number based on the sum of its proper divisors. In computer science, 713 is represented as 1011001001 in binary and 2C9 in hexadecimal. Historically, it is written as DCCXIII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (23 × 31) reveals 2 prime building blocks.
Divisible by 2
713 ends in 3, so it is odd.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 13 are not divisible by 4.
Divisible by 5
713 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
713 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 713 within several notable number theory sequences:
Timeline
Deep dive
How 713 breaks down
713 carries 4 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 55, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011001001 supports bitwise reasoning, hexadecimal 2C9 aligns with computing notation, and the Roman numeral DCCXIII keeps the encyclopedic tradition alive. These attributes make 713 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 713 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (708–718) to tune search ranges, and educators feature 713 in worksheets about factor trees. Its binary footprint of length 10 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 713 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 713
Is 713 a prime number?
713 is composite with 4 total factors and the prime factorization 23 × 31.
What is the prime factorization of 713?
It breaks down as 23 × 31, multiplying the primes 23 × 31.
How is 713 represented in binary and hexadecimal?
713 converts to 1011001001 in binary and 2C9 in hexadecimal, which are helpful for computer science applications.
Is 713 a perfect square, cube, or triangular number?
713 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 713?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.