2551
2551 is a odd prime number that follows 2550 and precedes 2552. As a prime number, 2551 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2551. 2551 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2551 is represented as 100111110111 in binary and 9F7 in hexadecimal. Historically, it is written as MMDLI in Roman numerals.
Factor Analysis
2 FactorsProperties
2551 is prime, so its only factors are 1 and 2551.
Divisible by 2
2551 ends in 1, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 51 are not divisible by 4.
Divisible by 5
2551 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 13 is not a multiple of 9.
Divisible by 10
2551 does not end in 0.
Divisible by 11
The alternating digit sum 1 is not a multiple of 11.
Deficient classification and digit analytics place 2551 within several notable number theory sequences:
Timeline
Deep dive
How 2551 breaks down
2551 carries 2 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111110111 supports bitwise reasoning, hexadecimal 9F7 aligns with computing notation, and the Roman numeral MMDLI keeps the encyclopedic tradition alive. These attributes make 2551 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2551 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2546–2556) to tune search ranges, and educators feature 2551 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 2551 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 2551
Is 2551 a prime number?
2551 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2551?
2551 is already prime, so the factorization is simply 2551.
How is 2551 represented in binary and hexadecimal?
2551 converts to 100111110111 in binary and 9F7 in hexadecimal, which are helpful for computer science applications.
Is 2551 a perfect square, cube, or triangular number?
2551 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2551?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.