2701
2701 is a odd composite number that follows 2700 and precedes 2702. It is composed of 4 distinct factors: 1, 37, 73, 2701. Its prime factorization can be written as 37 × 73. 2701 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2701 is represented as 101010001101 in binary and A8D in hexadecimal. Historically, it is written as MMDCCI in Roman numerals. It also belongs to the triangular number sequence.
Factor Analysis
4 FactorsProperties
The prime factorization (37 × 73) reveals 2 prime building blocks.
Divisible by 2
2701 ends in 1, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
2701 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 10 is not a multiple of 9.
Divisible by 10
2701 does not end in 0.
Divisible by 11
The alternating digit sum -6 is not a multiple of 11.
Deficient classification and digit analytics place 2701 within several notable number theory sequences:
Timeline
Deep dive
How 2701 breaks down
2701 carries 4 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 111, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101010001101 supports bitwise reasoning, hexadecimal A8D aligns with computing notation, and the Roman numeral MMDCCI keeps the encyclopedic tradition alive. These attributes make 2701 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2701 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2696–2706) to tune search ranges, and educators feature 2701 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, Triangular numbers) help historians, numerologists, and trivia writers tie 2701 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 2701
Is 2701 a prime number?
2701 is composite with 4 total factors and the prime factorization 37 × 73.
What is the prime factorization of 2701?
It breaks down as 37 × 73, multiplying the primes 37 × 73.
How is 2701 represented in binary and hexadecimal?
2701 converts to 101010001101 in binary and A8D in hexadecimal, which are helpful for computer science applications.
Is 2701 a perfect square, cube, or triangular number?
2701 is not a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 2701?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.