1626
1626 is a even composite number that follows 1625 and precedes 1627. It is composed of 8 distinct factors: 1, 2, 3, 6, 271, 542, 813, 1626. Its prime factorization can be written as 2 × 3 × 271. 1626 is classified as a abundant number based on the sum of its proper divisors. In computer science, 1626 is represented as 11001011010 in binary and 65A in hexadecimal. Historically, it is written as MDCXXVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 3 × 271) reveals 3 prime building blocks.
Divisible by 2
1626 ends in 6, so it is even.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 26 are not divisible by 4.
Divisible by 5
1626 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 15 is not a multiple of 9.
Divisible by 10
1626 does not end in 0.
Divisible by 11
The alternating digit sum -9 is not a multiple of 11.
Abundant classification and digit analytics place 1626 within several notable number theory sequences:
Timeline
Deep dive
How 1626 breaks down
1626 carries 8 distinct factors and a digit signature of 15 (6 as the digital root). The abundant classification indicates that its proper divisors sum to 1638, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11001011010 supports bitwise reasoning, hexadecimal 65A aligns with computing notation, and the Roman numeral MDCXXVI keeps the encyclopedic tradition alive. These attributes make 1626 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1626 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1621–1631) to tune search ranges, and educators feature 1626 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 1626 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 1626
Is 1626 a prime number?
1626 is composite with 8 total factors and the prime factorization 2 × 3 × 271.
What is the prime factorization of 1626?
It breaks down as 2 × 3 × 271, multiplying the primes 2 × 3 × 271.
How is 1626 represented in binary and hexadecimal?
1626 converts to 11001011010 in binary and 65A in hexadecimal, which are helpful for computer science applications.
Is 1626 a perfect square, cube, or triangular number?
1626 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1626?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.