2428
2428 is a even composite number that follows 2427 and precedes 2429. It is composed of 6 distinct factors: 1, 2, 4, 607, 1214, 2428. Its prime factorization can be written as 2^2 × 607. 2428 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2428 is represented as 100101111100 in binary and 97C in hexadecimal. Historically, it is written as MMCDXXVIII in Roman numerals.
Factor Analysis
6 FactorsProperties
The prime factorization (2^2 × 607) reveals 3 prime building blocks.
Divisible by 2
2428 ends in 8, so it is even.
Divisible by 3
The digit sum 16 is not a multiple of 3.
Divisible by 4
The last two digits 28 form a multiple of 4.
Divisible by 5
2428 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
2428 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 2428 within several notable number theory sequences:
Timeline
Deep dive
How 2428 breaks down
2428 carries 6 distinct factors and a digit signature of 16 (7 as the digital root). The deficient classification indicates that its proper divisors sum to 1828, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100101111100 supports bitwise reasoning, hexadecimal 97C aligns with computing notation, and the Roman numeral MMCDXXVIII keeps the encyclopedic tradition alive. These attributes make 2428 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2428 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2423–2433) to tune search ranges, and educators feature 2428 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 2428 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 2428
Is 2428 a prime number?
2428 is composite with 6 total factors and the prime factorization 2^2 × 607.
What is the prime factorization of 2428?
It breaks down as 2^2 × 607, multiplying the primes 2 × 2 × 607.
How is 2428 represented in binary and hexadecimal?
2428 converts to 100101111100 in binary and 97C in hexadecimal, which are helpful for computer science applications.
Is 2428 a perfect square, cube, or triangular number?
2428 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2428?
The digits sum to 16, producing a digital root of 7. These tests power divisibility shortcuts for 3 and 9.