2901
2901 is a odd composite number that follows 2900 and precedes 2902. It is composed of 4 distinct factors: 1, 3, 967, 2901. Its prime factorization can be written as 3 × 967. 2901 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2901 is represented as 101101010101 in binary and B55 in hexadecimal. Historically, it is written as MMCMI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 967) reveals 2 prime building blocks.
Divisible by 2
2901 ends in 1, so it is odd.
Divisible by 3
The digit sum 12 is a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
2901 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 12 is not a multiple of 9.
Divisible by 10
2901 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 2901 within several notable number theory sequences:
Timeline
Deep dive
How 2901 breaks down
2901 carries 4 distinct factors and a digit signature of 12 (3 as the digital root). The deficient classification indicates that its proper divisors sum to 971, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101101010101 supports bitwise reasoning, hexadecimal B55 aligns with computing notation, and the Roman numeral MMCMI keeps the encyclopedic tradition alive. These attributes make 2901 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2901 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2896–2906) to tune search ranges, and educators feature 2901 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 2901 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 2901
Is 2901 a prime number?
2901 is composite with 4 total factors and the prime factorization 3 × 967.
What is the prime factorization of 2901?
It breaks down as 3 × 967, multiplying the primes 3 × 967.
How is 2901 represented in binary and hexadecimal?
2901 converts to 101101010101 in binary and B55 in hexadecimal, which are helpful for computer science applications.
Is 2901 a perfect square, cube, or triangular number?
2901 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2901?
The digits sum to 12, producing a digital root of 3. These tests power divisibility shortcuts for 3 and 9.