746
746 is a even composite number that follows 745 and precedes 747. It is composed of 4 distinct factors: 1, 2, 373, 746. Its prime factorization can be written as 2 × 373. 746 is classified as a deficient number based on the sum of its proper divisors. In computer science, 746 is represented as 1011101010 in binary and 2EA in hexadecimal. Historically, it is written as DCCXLVI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 373) reveals 2 prime building blocks.
Divisible by 2
746 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 46 are not divisible by 4.
Divisible by 5
746 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 17 is not a multiple of 9.
Divisible by 10
746 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 746 within several notable number theory sequences:
Timeline
Deep dive
How 746 breaks down
746 carries 4 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 376, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011101010 supports bitwise reasoning, hexadecimal 2EA aligns with computing notation, and the Roman numeral DCCXLVI keeps the encyclopedic tradition alive. These attributes make 746 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 746 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (741–751) to tune search ranges, and educators feature 746 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 746 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 746
Is 746 a prime number?
746 is composite with 4 total factors and the prime factorization 2 × 373.
What is the prime factorization of 746?
It breaks down as 2 × 373, multiplying the primes 2 × 373.
How is 746 represented in binary and hexadecimal?
746 converts to 1011101010 in binary and 2EA in hexadecimal, which are helpful for computer science applications.
Is 746 a perfect square, cube, or triangular number?
746 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 746?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.