1726
1726 is a even composite number that follows 1725 and precedes 1727. It is composed of 4 distinct factors: 1, 2, 863, 1726. Its prime factorization can be written as 2 × 863. 1726 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1726 is represented as 11010111110 in binary and 6BE in hexadecimal. Historically, it is written as MDCCXXVI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 863) reveals 2 prime building blocks.
Divisible by 2
1726 ends in 6, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 26 are not divisible by 4.
Divisible by 5
1726 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 16 is not a multiple of 9.
Divisible by 10
1726 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 1726 within several notable number theory sequences:
Timeline
Deep dive
How 1726 breaks down
1726 carries 4 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 866, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11010111110 supports bitwise reasoning, hexadecimal 6BE aligns with computing notation, and the Roman numeral MDCCXXVI keeps the encyclopedic tradition alive. These attributes make 1726 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1726 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1721–1731) to tune search ranges, and educators feature 1726 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, Deficient numbers) help historians, numerologists, and trivia writers tie 1726 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 1726
Is 1726 a prime number?
1726 is composite with 4 total factors and the prime factorization 2 × 863.
What is the prime factorization of 1726?
It breaks down as 2 × 863, multiplying the primes 2 × 863.
How is 1726 represented in binary and hexadecimal?
1726 converts to 11010111110 in binary and 6BE in hexadecimal, which are helpful for computer science applications.
Is 1726 a perfect square, cube, or triangular number?
1726 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1726?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.