537
537 is a odd composite number that follows 536 and precedes 538. It is composed of 4 distinct factors: 1, 3, 179, 537. Its prime factorization can be written as 3 × 179. 537 is classified as a deficient number based on the sum of its proper divisors. In computer science, 537 is represented as 1000011001 in binary and 219 in hexadecimal. Historically, it is written as DXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (3 × 179) reveals 2 prime building blocks.
Divisible by 2
537 ends in 7, so it is odd.
Divisible by 3
The digit sum 15 is a multiple of 3.
Divisible by 4
The last two digits 37 are not divisible by 4.
Divisible by 5
537 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 15 is not a multiple of 9.
Divisible by 10
537 does not end in 0.
Divisible by 11
The alternating digit sum 9 is not a multiple of 11.
Deficient classification and digit analytics place 537 within several notable number theory sequences:
Timeline
Deep dive
How 537 breaks down
537 carries 4 distinct factors and a digit signature of 15 (6 as the digital root). The deficient classification indicates that its proper divisors sum to 183, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1000011001 supports bitwise reasoning, hexadecimal 219 aligns with computing notation, and the Roman numeral DXXXVII keeps the encyclopedic tradition alive. These attributes make 537 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 537 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (532–542) to tune search ranges, and educators feature 537 in worksheets about factor trees. Its binary footprint of length 10 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 537 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 537
Is 537 a prime number?
537 is composite with 4 total factors and the prime factorization 3 × 179.
What is the prime factorization of 537?
It breaks down as 3 × 179, multiplying the primes 3 × 179.
How is 537 represented in binary and hexadecimal?
537 converts to 1000011001 in binary and 219 in hexadecimal, which are helpful for computer science applications.
Is 537 a perfect square, cube, or triangular number?
537 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 537?
The digits sum to 15, producing a digital root of 6. These tests power divisibility shortcuts for 3 and 9.