373
373 is a odd prime number that follows 372 and precedes 374. As a prime number, 373 is only divisible by 1 and itself. It holds a unique position in the sequence of integers. Its prime factorization is simply 373. 373 is classified as a deficient number based on the sum of its proper divisors. In computer science, 373 is represented as 101110101 in binary and 175 in hexadecimal. Historically, it is written as CCCLXXIII in Roman numerals.
Factor Analysis
2 FactorsProperties
373 is prime, so its only factors are 1 and 373.
Divisible by 2
373 ends in 3, so it is odd.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 73 are not divisible by 4.
Divisible by 5
373 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 13 is not a multiple of 9.
Divisible by 10
373 does not end in 0.
Divisible by 11
The alternating digit sum -1 is not a multiple of 11.
Deficient classification and digit analytics place 373 within several notable number theory sequences:
Timeline
Deep dive
How 373 breaks down
373 carries 2 distinct factors and a digit signature of 13 (4 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 101110101 supports bitwise reasoning, hexadecimal 175 aligns with computing notation, and the Roman numeral CCCLXXIII keeps the encyclopedic tradition alive. These attributes make 373 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 373 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (368–378) to tune search ranges, and educators feature 373 in worksheets about prime identification. 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 (Prime numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 373 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 373
Is 373 a prime number?
373 is prime, meaning it is only divisible by 1 and itself.
What is the prime factorization of 373?
373 is already prime, so the factorization is simply 373.
How is 373 represented in binary and hexadecimal?
373 converts to 101110101 in binary and 175 in hexadecimal, which are helpful for computer science applications.
Is 373 a perfect square, cube, or triangular number?
373 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 373?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.