2628
2628 is a even composite number that follows 2627 and precedes 2629. It is composed of 18 distinct factors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628. Its prime factorization can be written as 2^2 × 3^2 × 73. 2628 is classified as a abundant number based on the sum of its proper divisors. In computer science, 2628 is represented as 101001000100 in binary and A44 in hexadecimal. Historically, it is written as MMDCXXVIII in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
18 FactorsProperties
The prime factorization (2^2 × 3^2 × 73) reveals 5 prime building blocks.
Divisible by 2
2628 ends in 8, so it is even.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
2628 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 18 is a multiple of 9.
Divisible by 10
2628 does not end in 0.
Divisible by 11
The alternating digit sum -10 is not a multiple of 11.
Abundant classification and digit analytics place 2628 within several notable number theory sequences:
Timeline
Deep dive
How 2628 breaks down
2628 carries 18 distinct factors and a digit signature of 18 (9 as the digital root). The abundant classification indicates that its proper divisors sum to 4106, which exceeds the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101001000100 supports bitwise reasoning, hexadecimal A44 aligns with computing notation, and the Roman numeral MMDCXXVIII keeps the encyclopedic tradition alive. These attributes make 2628 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2628 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2623–2633) to tune search ranges, and educators feature 2628 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, Abundant numbers, Triangular numbers) help historians, numerologists, and trivia writers tie 2628 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 2628
Is 2628 a prime number?
2628 is composite with 18 total factors and the prime factorization 2^2 × 3^2 × 73.
What is the prime factorization of 2628?
It breaks down as 2^2 × 3^2 × 73, multiplying the primes 2 × 2 × 3 × 3 × 73.
How is 2628 represented in binary and hexadecimal?
2628 converts to 101001000100 in binary and A44 in hexadecimal, which are helpful for computer science applications.
Is 2628 a perfect square, cube, or triangular number?
2628 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 2628?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.