5507
5507 is a odd prime number that follows 5506 and precedes 5508. As a prime number, 5507 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 5507. 5507 is classified as a deficient number based on the sum of its proper divisors. In computer science, 5507 is represented as 1010110000011 in binary and 1583 in hexadecimal.
Factor Analysis
2 FactorsProperties
5507 is prime, so its only factors are 1 and 5507.
Divisible by 2
5507 ends in 7, so it is odd.
Divisible by 3
The digit sum 17 is not a multiple of 3.
Divisible by 4
The last two digits 07 are not divisible by 4.
Divisible by 5
5507 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 17 is not a multiple of 9.
Divisible by 10
5507 does not end in 0.
Divisible by 11
The alternating digit sum -7 is not a multiple of 11.
Deficient classification and digit analytics place 5507 within several notable number theory sequences:
Timeline
Deep dive
How 5507 breaks down
5507 carries 2 distinct factors and a digit signature of 17 (8 as the digital root). The deficient classification indicates that its proper divisors sum to 1, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1010110000011 supports bitwise reasoning, hexadecimal 1583 aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 5507 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 5507 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (5502–5512) to tune search ranges, and educators feature 5507 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 5507 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 5507
Is 5507 a prime number?
5507 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 5507?
5507 is already prime, so the factorization is simply 5507.
How is 5507 represented in binary and hexadecimal?
5507 converts to 1010110000011 in binary and 1583 in hexadecimal, which are helpful for computer science applications.
Is 5507 a perfect square, cube, or triangular number?
5507 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 5507?
The digits sum to 17, producing a digital root of 8. These tests power divisibility shortcuts for 3 and 9.