2501
2501 is a odd composite number that follows 2500 and precedes 2502. It is composed of 4 distinct factors: 1, 41, 61, 2501. Its prime factorization can be written as 41 × 61. 2501 is classified as a deficient number based on the sum of its proper divisors. In computer science, 2501 is represented as 100111000101 in binary and 9C5 in hexadecimal. Historically, it is written as MMDI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (41 × 61) reveals 2 prime building blocks.
Divisible by 2
2501 ends in 1, so it is odd.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 01 are not divisible by 4.
Divisible by 5
2501 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 8 is not a multiple of 9.
Divisible by 10
2501 does not end in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 2501 within several notable number theory sequences:
Timeline
Deep dive
How 2501 breaks down
2501 carries 4 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 103, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 100111000101 supports bitwise reasoning, hexadecimal 9C5 aligns with computing notation, and the Roman numeral MMDI keeps the encyclopedic tradition alive. These attributes make 2501 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 2501 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (2496–2506) to tune search ranges, and educators feature 2501 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 2501 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 2501
Is 2501 a prime number?
2501 is composite with 4 total factors and the prime factorization 41 × 61.
What is the prime factorization of 2501?
It breaks down as 41 × 61, multiplying the primes 41 × 61.
How is 2501 represented in binary and hexadecimal?
2501 converts to 100111000101 in binary and 9C5 in hexadecimal, which are helpful for computer science applications.
Is 2501 a perfect square, cube, or triangular number?
2501 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 2501?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.