5625
5625 is a odd composite number that follows 5624 and precedes 5626. It is composed of 15 distinct factors: 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 625, 1125, 1875, 5625. Its prime factorization can be written as 3^2 × 5^4. 5625 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5625 is represented as 1010111111001 in binary and 15F9 in hexadecimal. It also belongs to the perfect square sequence.
Factor Analysis
15 FactorsProperties
The prime factorization (3^2 × 5^4) reveals 6 prime building blocks.
Divisible by 2
5625 ends in 5, so it is odd.
Divisible by 3
The digit sum 18 is a multiple of 3.
Divisible by 4
The last two digits 25 are not divisible by 4.
Divisible by 5
5625 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 18 is a multiple of 9.
Divisible by 10
5625 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 5625 within several notable number theory sequences:
Timeline
Deep dive
How 5625 breaks down
5625 carries 15 distinct factors and a digit signature of 18 (9 as the digital root). The deficient classification indicates that its proper divisors sum to 4528, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010111111001 supports bitwise reasoning, hexadecimal 15F9 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5625 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5625 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5620–5630) to tune search ranges, and educators feature 5625 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, Perfect squares) help historians, numerologists, and trivia writers tie 5625 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 5625
Is 5625 a prime number?
5625 is composite with 15 total factors and the prime factorization 3^2 × 5^4.
What is the prime factorization of 5625?
It breaks down as 3^2 × 5^4, multiplying the primes 3 × 3 × 5 × 5 × 5 × 5.
How is 5625 represented in binary and hexadecimal?
5625 converts to 1010111111001 in binary and 15F9 in hexadecimal, which are helpful for computer science applications.
Is 5625 a perfect square, cube, or triangular number?
5625 is a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5625?
The digits sum to 18, producing a digital root of 9. These tests power divisibility shortcuts for 3 and 9.