901
901 is a odd composite number that follows 900 and precedes 902. It is composed of 4 distinct factors: 1, 17, 53, 901. Its prime factorization can be written as 17 × 53. 901 is classified as a deficient number based on the sum of its proper divisors. In computer science, 901 is represented as 1110000101 in binary and 385 in hexadecimal. Historically, it is written as CMI in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (17 × 53) reveals 2 prime building blocks.
Divisible by 2
901 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
901 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
901 does not end in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 901 within several notable number theory sequences:
Timeline
Deep dive
How 901 breaks down
901 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 71, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110000101 supports bitwise reasoning, hexadecimal 385 aligns with computing notation, and the Roman numeral CMI keeps the encyclopedic tradition alive. These attributes make 901 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 901 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (896–906) to tune search ranges, and educators feature 901 in worksheets about factor trees. Its binary footprint of length 10 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 901 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 901
Is 901 a prime number?
901 is composite with 4 total factors and the prime factorization 17 × 53.
What is the prime factorization of 901?
It breaks down as 17 × 53, multiplying the primes 17 × 53.
How is 901 represented in binary and hexadecimal?
901 converts to 1110000101 in binary and 385 in hexadecimal, which are helpful for computer science applications.
Is 901 a perfect square, cube, or triangular number?
901 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 901?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.