2626
2626 is a even composite number that follows 2625 and precedes 2627. It is composed of 8 distinct factors: 1, 2, 13, 26, 101, 202, 1313, 2626. Its prime factorization can be written as 2 × 13 × 101. 2626 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2626 is represented as 101001000010 in binary and A42 in hexadecimal. Historically, it is written as MMDCXXVI in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 13 × 101) reveals 3 prime building blocks.
Divisible by 2
2626 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
2626 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
2626 does not end in 0.
Divisible by 11
The alternating digit sum -8 is not a multiple of 11.
Deficient classification and digit analytics place 2626 within several notable number theory sequences:
Timeline
Deep dive
How 2626 breaks down
2626 carries 8 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1658, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001000010 supports bitwise reasoning, hexadecimal A42 aligns with computing notation, and the Roman numeral MMDCXXVI keeps the encyclopedic tradition alive. These attributes make 2626 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2626 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2621–2631) to tune search ranges, and educators feature 2626 in worksheets about factor trees. Its binary footprint of length 12 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 2626 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 2626
Is 2626 a prime number?
2626 is composite with 8 total factors and the prime factorization 2 × 13 × 101.
What is the prime factorization of 2626?
It breaks down as 2 × 13 × 101, multiplying the primes 2 × 13 × 101.
How is 2626 represented in binary and hexadecimal?
2626 converts to 101001000010 in binary and A42 in hexadecimal, which are helpful for computer science applications.
Is 2626 a perfect square, cube, or triangular number?
2626 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2626?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.