2601
2601 is a odd composite number that follows 2600 and precedes 2602. It is composed of 9 distinct factors: 1, 3, 9, 17, 51, 153, 289, 867, 2601. Its prime factorization can be written as 3^2 × 17^2. 2601 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2601 is represented as 101000101001 in binary and A29 in hexadecimal. Historically, it is written as MMDCI in Roman numerals. It also belongs to the perfect square sequence.
Factor Analysis
9 FactorsProperties
The prime factorization (3^2 × 17^2) reveals 4 prime building blocks.
Divisible by 2
2601 ends in 1, so it is odd.
Divisible by 3
The digit sum 9 is a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
2601 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 9 is a multiple of 9.
Divisible by 10
2601 does not end in 0.
Divisible by 11
The alternating digit sum -5 is not a multiple of 11.
Deficient classification and digit analytics place 2601 within several notable number theory sequences:
Timeline
Deep dive
How 2601 breaks down
2601 carries 9 distinct factors and a digit signature of 9 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 1390, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101000101001 supports bitwise reasoning, hexadecimal A29 aligns with computing notation, and the Roman numeral MMDCI keeps the encyclopedic tradition alive. These attributes make 2601 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2601 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2596–2606) to tune search ranges, and educators feature 2601 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, Perfect squares) help historians, numerologists, and trivia writers tie 2601 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 2601
Is 2601 a prime number?
2601 is composite with 9 total factors and the prime factorization 3^2 × 17^2.
What is the prime factorization of 2601?
It breaks down as 3^2 × 17^2, multiplying the primes 3 × 3 × 17 × 17.
How is 2601 represented in binary and hexadecimal?
2601 converts to 101000101001 in binary and A29 in hexadecimal, which are helpful for computer science applications.
Is 2601 a perfect square, cube, or triangular number?
2601 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2601?
The digits sum to 9, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.