722
722 is a even composite number that follows 721 and precedes 723. It is composed of 6 distinct factors: 1, 2, 19, 38, 361, 722. Its prime factorization can be written as 2 × 19^2. 722 is classified as a deficient number based on the sum of its proper divisors. In computer science, 722 is represented as 1011010010 in binary and 2D2 in hexadecimal. Historically, it is written as DCCXXII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2 × 19^2) reveals 3 prime building blocks.
Divisible by 2
722 ends in 2, so it is even.
Divisible by 3
The digit sum 11 is not a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
722 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
722 does not end in 0.
Divisible by 11
The alternating digit sum 7 is not a multiple of 11.
Deficient classification and digit analytics place 722 within several notable number theory sequences:
Timeline
Deep dive
How 722 breaks down
722 carries 6 distinct factors and a digit signature of 11 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 421, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1011010010 supports bitwise reasoning, hexadecimal 2D2 aligns with computing notation, and the Roman numeral DCCXXII keeps the encyclopedic tradition alive. These attributes make 722 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 722 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (717–727) to tune search ranges, and educators feature 722 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 722 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 722
Is 722 a prime number?
722 is composite with 6 total factors and the prime factorization 2 × 19^2.
What is the prime factorization of 722?
It breaks down as 2 × 19^2, multiplying the primes 2 × 19 × 19.
How is 722 represented in binary and hexadecimal?
722 converts to 1011010010 in binary and 2D2 in hexadecimal, which are helpful for computer science applications.
Is 722 a perfect square, cube, or triangular number?
722 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 722?
The digits sum to 11, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.