1250
1250 is a even composite number that follows 1249 and precedes 1251. It is composed of 10 distinct factors: 1, 2, 5, 10, 25, 50, 125, 250, 625, 1250. Its prime factorization can be written as 2 × 5^4. 1250 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1250 is represented as 10011100010 in binary and 4E2 in hexadecimal. Historically, it is written as MCCL in Roman numerals.
Factor Analysis
10 FactorsProperties
The prime factorization (2 × 5^4) reveals 5 prime building blocks.
Divisible by 2
1250 ends in 0, so it is even.
Divisible by 3
The digit sum 8 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
1250 ends in 0, 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 8 is not a multiple of 9.
Divisible by 10
1250 ends in 0.
Divisible by 11
The alternating digit sum 4 is not a multiple of 11.
Deficient classification and digit analytics place 1250 within several notable number theory sequences:
Timeline
Deep dive
How 1250 breaks down
1250 carries 10 distinct factors and a digit signature of 8 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1093, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 10011100010 supports bitwise reasoning, hexadecimal 4E2 aligns with computing notation, and the Roman numeral MCCL keeps the encyclopedic tradition alive. These attributes make 1250 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1250 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1245–1255) to tune search ranges, and educators feature 1250 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) help historians, numerologists, and trivia writers tie 1250 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 1250
Is 1250 a prime number?
1250 is composite with 10 total factors and the prime factorization 2 × 5^4.
What is the prime factorization of 1250?
It breaks down as 2 × 5^4, multiplying the primes 2 × 5 × 5 × 5 × 5.
How is 1250 represented in binary and hexadecimal?
1250 converts to 10011100010 in binary and 4E2 in hexadecimal, which are helpful for computer science applications.
Is 1250 a perfect square, cube, or triangular number?
1250 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1250?
The digits sum to 8, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.