7390
7390 is a even composite number that follows 7389 and precedes 7391. It is composed of 8 distinct factors: 1, 2, 5, 10, 739, 1478, 3695, 7390. Its prime factorization can be written as 2 × 5 × 739. 7390 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7390 is represented as 1110011011110 in binary and 1CDE in hexadecimal.
Factor Analysis
8 FactorsProperties
The prime factorization (2 × 5 × 739) reveals 3 prime building blocks.
Divisible by 2
7390 ends in 0, so it is even.
Divisible by 3
The digit sum 19 is not a multiple of 3.
Divisible by 4
The last two digits 90 are not divisible by 4.
Divisible by 5
7390 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 19 is not a multiple of 9.
Divisible by 10
7390 ends in 0.
Divisible by 11
The alternating digit sum 13 is not a multiple of 11.
Deficient classification and digit analytics place 7390 within several notable number theory sequences:
Timeline
Deep dive
How 7390 breaks down
7390 carries 8 distinct factors and a digit signature of 19 (1 as the digital root). The deficient classification indicates that its proper divisors sum to 5930, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110011011110 supports bitwise reasoning, hexadecimal 1CDE aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7390 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7390 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7385–7395) to tune search ranges, and educators feature 7390 in worksheets about factor trees. 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 (Composite numbers, Deficient numbers) help historians, numerologists, and trivia writers tie 7390 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 7390
Is 7390 a prime number?
7390 is composite with 8 total factors and the prime factorization 2 × 5 × 739.
What is the prime factorization of 7390?
It breaks down as 2 × 5 × 739, multiplying the primes 2 × 5 × 739.
How is 7390 represented in binary and hexadecimal?
7390 converts to 1110011011110 in binary and 1CDE in hexadecimal, which are helpful for computer science applications.
Is 7390 a perfect square, cube, or triangular number?
7390 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7390?
The digits sum to 19, producing a digital root of 1. These tests power divisibility shortcuts for 3 and 9.