3626
3626 is a even composite number that follows 3625 and precedes 3627. It is composed of 12 distinct factors: 1, 2, 7, 14, 37, 49, 74, 98, 259, 518, 1813, 3626. Its prime factorization can be written as 2 × 7^2 × 37. 3626 is classified as a deficient number based on the sum of its proper divisors. In computer science, 3626 is represented as 111000101010 in binary and E2A in hexadecimal. Historically, it is written as MMMDCXXVI in Roman numerals.
Factor Analysis
12 FactorsProperties
The prime factorization (2 × 7^2 × 37) reveals 4 prime building blocks.
Divisible by 2
3626 ends in 6, so it is even.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 26 are not divisible by 4.
Divisible by 5
3626 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 17 is not a multiple of 9.
Divisible by 10
3626 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 3626 within several notable number theory sequences:
Timeline
Deep dive
How 3626 breaks down
3626 carries 12 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 2872, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 111000101010 supports bitwise reasoning, hexadecimal E2A aligns with computing notation, and the Roman numeral MMMDCXXVI keeps the encyclopedic tradition alive. These attributes make 3626 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 3626 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (3621–3631) to tune search ranges, and educators feature 3626 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 3626 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 3626
Is 3626 a prime number?
3626 is composite with 12 total factors and the prime factorization 2 × 7^2 × 37.
What is the prime factorization of 3626?
It breaks down as 2 × 7^2 × 37, multiplying the primes 2 × 7 × 7 × 37.
How is 3626 represented in binary and hexadecimal?
3626 converts to 111000101010 in binary and E2A in hexadecimal, which are helpful for computer science applications.
Is 3626 a perfect square, cube, or triangular number?
3626 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 3626?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.