1937
1937 is a odd composite number that follows 1936 and precedes 1938. It is composed of 4 distinct factors: 1, 13, 149, 1937. Its prime factorization can be written as 13 × 149. 1937 is classified as a deficient number based on the sum of its proper divisors. In computer science, 1937 is represented as 11110010001 in binary and 791 in hexadecimal. Historically, it is written as MCMXXXVII in Roman numerals.
Factor Analysis
4 FactorsProperties
The prime factorization (13 × 149) reveals 2 prime building blocks.
Divisible by 2
1937 ends in 7, so it is odd.
Divisible by 3
The digit sum 20 is not a multiple of 3.
Divisible by 4
The last two digits 37 are not divisible by 4.
Divisible by 5
1937 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 20 is not a multiple of 9.
Divisible by 10
1937 does not end in 0.
Divisible by 11
The alternating digit sum -12 is not a multiple of 11.
Deficient classification and digit analytics place 1937 within several notable number theory sequences:
Timeline
Deep dive
How 1937 breaks down
1937 carries 4 distinct factors and a digit signature of 20 (2 as the digital root). The deficient classification indicates that its proper divisors sum to 163, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 11110010001 supports bitwise reasoning, hexadecimal 791 aligns with computing notation, and the Roman numeral MCMXXXVII keeps the encyclopedic tradition alive. These attributes make 1937 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 1937 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (1932–1942) to tune search ranges, and educators feature 1937 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 1937 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 1937
Is 1937 a prime number?
1937 is composite with 4 total factors and the prime factorization 13 × 149.
What is the prime factorization of 1937?
It breaks down as 13 × 149, multiplying the primes 13 × 149.
How is 1937 represented in binary and hexadecimal?
1937 converts to 11110010001 in binary and 791 in hexadecimal, which are helpful for computer science applications.
Is 1937 a perfect square, cube, or triangular number?
1937 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 1937?
The digits sum to 20, producing a digital root of 2. These tests power divisibility shortcuts for 3 and 9.