370
370 is a even composite number that follows 369 and precedes 371. It is composed of 8 distinct factors: 1, 2, 5, 10, 37, 74, 185, 370. Its prime factorization can be written as 2 × 5 × 37. 370 is classified as a deficient number based on the sum of its proper divisors. In computer science, 370 is represented as 101110010 in binary and 172 in hexadecimal. Historically, it is written as CCCLXX in Roman numerals.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 37) reveals 3 prime building blocks.
Divisible by 2
370 ends in 0, so it is even.
Divisible by 3
The digit sum 10 is not a multiple of 3.
Divisible by 4
The last two digits 70 are not divisible by 4.
Divisible by 5
370 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 10 is not a multiple of 9.
Divisible by 10
370 ends in 0.
Divisible by 11
The alternating digit sum -4 is not a multiple of 11.
Deficient classification and digit analytics place 370 within several notable number theory sequences:
Timeline
Deep dive
How 370 breaks down
370 carries 8 distinct factors and a digit signature of 10 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 314, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 101110010 supports bitwise reasoning, hexadecimal 172 aligns with computing notation, and the Roman numeral CCCLXX keeps the encyclopedic tradition alive. These attributes make 370 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 370 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (365–375) to tune search ranges, and educators feature 370 in worksheets about factor trees. Its binary footprint of length 9 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 370 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 370
Is 370 a prime number?
370 is composite with 8 total factors and the prime factorization 2 × 5 × 37.
What is the prime factorization of 370?
It breaks down as 2 × 5 × 37, multiplying the primes 2 × 5 × 37.
How is 370 represented in binary and hexadecimal?
370 converts to 101110010 in binary and 172 in hexadecimal, which are helpful for computer science applications.
Is 370 a perfect square, cube, or triangular number?
370 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 370?
The digits sum to 10, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.