2753
2753 is a odd prime number that follows 2752 and precedes 2754. As a prime number, 2753 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 2753. 2753 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2753 is represented as 101011000001 in binary and AC1 in hexadecimal. Historically, it is written as MMDCCLIII in Roman numerals.
Factor Analysis
2 FactorsProperties
2753 is prime, so its only factors are 1 and 2753.
Divisible by 2
2753 ends in 3, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 53 are not divisible by 4.
Divisible by 5
2753 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
2753 does not end in 0.
Divisible by 11
The alternating digit sum -3 is not a multiple of 11.
Deficient classification and digit analytics place 2753 within several notable number theory sequences:
Timeline
Deep dive
How 2753 breaks down
2753 carries 2 distinct factors and a digit signature of 17 (8 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 101011000001 supports bitwise reasoning, hexadecimal AC1 aligns with computing notation, and the Roman numeral MMDCCLIII keeps the encyclopedic tradition alive. These attributes make 2753 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2753 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2748–2758) to tune search ranges, and educators feature 2753 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 2753 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 2753
Is 2753 a prime number?
2753 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 2753?
2753 is already prime, so the factorization is simply 2753.
How is 2753 represented in binary and hexadecimal?
2753 converts to 101011000001 in binary and AC1 in hexadecimal, which are helpful for computer science applications.
Is 2753 a perfect square, cube, or triangular number?
2753 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2753?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.