1722
1722 is a even composite number that follows 1721 and precedes 1723. It is composed of 16 distinct factors: 1, 2, 3, 6, 7, 14, 21, 41, 42, 82, 123, 246, 287, 574, 861, 1722. Its prime factorization can be written as 2 × 3 × 7 × 41. 1722 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1722 is represented as 11010111010 in binary and 6BA in hexadecimal. Historically, it is written as MDCCXXII in Roman numerals.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 3 × 7 × 41) reveals 4 prime building blocks.
Divisible by 2
1722 ends in 2, so it is even.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 22 are not divisible by 4.
Divisible by 5
1722 does not end in 0 or 5.
Divisible by 6
It meets the tests for both 2 and 3, so it is divisible by 6.
Divisible by 9
The digit sum 12 is not a multiple of 9.
Divisible by 10
1722 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Abundant classification and digit analytics place 1722 within several notable number theory sequences:
Timeline
Deep dive
How 1722 breaks down
1722 carries 16 distinct factors and a digit signature of 12 (3 as the digital root). The abundant classification indicates that its proper divisors sum to 2310, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010111010 supports bitwise reasoning, hexadecimal 6BA aligns with computing notation, and the Roman numeral MDCCXXII keeps the encyclopedic tradition alive. These attributes make 1722 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1722 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1717–1727) to tune search ranges, and educators feature 1722 in worksheets about factor trees. Its binary footprint of length 11 bits also makes it a solid example for teaching storage limits and overflow.
Beyond STEM, the classification and sequence tags (Composite numbers, Abundant numbers) help historians, numerologists, and trivia writers tie 1722 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 1722
Is 1722 a prime number?
1722 is composite with 16 total factors and the prime factorization 2 × 3 × 7 × 41.
What is the prime factorization of 1722?
It breaks down as 2 × 3 × 7 × 41, multiplying the primes 2 × 3 × 7 × 41.
How is 1722 represented in binary and hexadecimal?
1722 converts to 11010111010 in binary and 6BA in hexadecimal, which are helpful for computer science applications.
Is 1722 a perfect square, cube, or triangular number?
1722 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1722?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.