7250
7250 is a even composite number that follows 7249 and precedes 7251. It is composed of 16 distinct factors: 1, 2, 5, 10, 25, 29, 50, 58, 125, 145, 250, 290, 725, 1450, 3625, 7250. Its prime factorization can be written as 2 × 5^3 × 29. 7250 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7250 is represented as 1110001010010 in binary and 1C52 in hexadecimal.
Factor Analysis
16 FactorsProperties
The prime factorization (2 × 5^3 × 29) reveals 5 prime building blocks.
Divisible by 2
7250 ends in 0, so it is even.
Divisible by 3
The digit sum 14 is not a multiple of 3.
Divisible by 4
The last two digits 50 are not divisible by 4.
Divisible by 5
7250 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 14 is not a multiple of 9.
Divisible by 10
7250 ends in 0.
Divisible by 11
The alternating digit sum 10 is not a multiple of 11.
Deficient classification and digit analytics place 7250 within several notable number theory sequences:
Timeline
Deep dive
How 7250 breaks down
7250 carries 16 distinct factors and a digit signature of 14 (5 as the digital root). The deficient classification indicates that its proper divisors sum to 6790, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110001010010 supports bitwise reasoning, hexadecimal 1C52 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7250 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7250 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7245–7255) to tune search ranges, and educators feature 7250 in worksheets about factor trees. Its binary footprint of length 13 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 7250 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 7250
Is 7250 a prime number?
7250 is composite with 16 total factors and the prime factorization 2 × 5^3 × 29.
What is the prime factorization of 7250?
It breaks down as 2 × 5^3 × 29, multiplying the primes 2 × 5 × 5 × 5 × 29.
How is 7250 represented in binary and hexadecimal?
7250 converts to 1110001010010 in binary and 1C52 in hexadecimal, which are helpful for computer science applications.
Is 7250 a perfect square, cube, or triangular number?
7250 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7250?
The digits sum to 14, producing a digital root of 5. These tests power divisibility shortcuts for 3 and 9.