1225
1225 is a odd composite number that follows 1224 and precedes 1226. It is composed of 9 distinct factors: 1, 5, 7, 25, 35, 49, 175, 245, 1225. Its prime factorization can be written as 5^2 × 7^2. 1225 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1225 is represented as 10011001001 in binary and 4C9 in hexadecimal. Historically, it is written as MCCXXV in Roman numerals. It also belongs to the perfect square, triangular number sequences.
Factor Analysis
9 FactorsProperties
The prime factorization (5^2 × 7^2) reveals 4 prime building blocks.
Divisible by 2
1225 ends in 5, so it is odd.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
1225 ends in 5, so it is divisible by 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
1225 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 1225 within several notable number theory sequences:
Timeline
Deep dive
How 1225 breaks down
1225 carries 9 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 542, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011001001 supports bitwise reasoning, hexadecimal 4C9 aligns with computing notation, and the Roman numeral MCCXXV keeps the encyclopedic tradition alive. These attributes make 1225 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1225 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1220–1230) to tune search ranges, and educators feature 1225 in worksheets about factor trees. Its binary footprint of length 11 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, Triangular numbers) help historians, numerologists, and trivia writers tie 1225 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 1225
Is 1225 a prime number?
1225 is composite with 9 total factors and the prime factorization 5^2 × 7^2.
What is the prime factorization of 1225?
It breaks down as 5^2 × 7^2, multiplying the primes 5 × 5 × 7 × 7.
How is 1225 represented in binary and hexadecimal?
1225 converts to 10011001001 in binary and 4C9 in hexadecimal, which are helpful for computer science applications.
Is 1225 a perfect square, cube, or triangular number?
1225 is a perfect square, is not a perfect cube, and is triangular.
What are the digit sum and digital root of 1225?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.