747
747 is a odd composite number that follows 746 and precedes 748. It is composed of 6 distinct factors: 1, 3, 9, 83, 249, 747. Its prime factorization can be written as 3^2 × 83. 747 is classified as a deficient number based on the sum of its proper divisors. In computer science, 747 is represented as 1011101011 in binary and 2EB in hexadecimal. Historically, it is written as DCCXLVII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (3^2 × 83) reveals 3 prime building blocks.
Divisible by 2
747 ends in 7, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 47 are not divisible by 4.
Divisible by 5
747 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 18 is a multiple of 9.
Divisible by 10
747 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 747 within several notable number theory sequences:
Timeline
Deep dive
How 747 breaks down
747 carries 6 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 345, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011101011 supports bitwise reasoning, hexadecimal 2EB aligns with computing notation, and the Roman numeral DCCXLVII keeps the encyclopedic tradition alive. These attributes make 747 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 747 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (742–752) to tune search ranges, and educators feature 747 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 747 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 747
Is 747 a prime number?
747 is composite with 6 total factors and the prime factorization 3^2 × 83.
What is the prime factorization of 747?
It breaks down as 3^2 × 83, multiplying the primes 3 × 3 × 83.
How is 747 represented in binary and hexadecimal?
747 converts to 1011101011 in binary and 2EB in hexadecimal, which are helpful for computer science applications.
Is 747 a perfect square, cube, or triangular number?
747 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 747?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.