7402
7402 is a even composite number that follows 7401 and precedes 7403. It is composed of 4 distinct factors: 1, 2, 3701, 7402. Its prime factorization can be written as 2 × 3701. 7402 is classified as a deficient number based on the sum of its proper divisors. In computer science, 7402 is represented as 1110011101010 in binary and 1CEA in hexadecimal.
Factor Analysis
4 FactorsProperties
The prime factorization (2 × 3701) reveals 2 prime building blocks.
Divisible by 2
7402 ends in 2, so it is even.
Divisible by 3
The digit sum 13 is not a multiple of 3.
Divisible by 4
The last two digits 02 are not divisible by 4.
Divisible by 5
7402 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
7402 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 7402 within several notable number theory sequences:
Timeline
Deep dive
How 7402 breaks down
7402 carries 4 distinct factors and a digit signature of 13 (4 as the digital root). The deficient classification indicates that its proper divisors sum to 3704, which stays below the number, offering a quick glimpse into its abundance profile.
Numeral conversions provide additional context: the binary form 1110011101010 supports bitwise reasoning, hexadecimal 1CEA aligns with computing notation, and the Roman numeral N/A (1-3999) keeps the encyclopedic tradition alive. These attributes make 7402 useful for math olympiad problems, puzzle design, and code challenges alike.
Context
Where 7402 shows up
Engineers lean on the divisibility profile when sizing circuits, mod designers use neighboring values (7397–7407) to tune search ranges, and educators feature 7402 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 7402 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 7402
Is 7402 a prime number?
7402 is composite with 4 total factors and the prime factorization 2 × 3701.
What is the prime factorization of 7402?
It breaks down as 2 × 3701, multiplying the primes 2 × 3701.
How is 7402 represented in binary and hexadecimal?
7402 converts to 1110011101010 in binary and 1CEA in hexadecimal, which are helpful for computer science applications.
Is 7402 a perfect square, cube, or triangular number?
7402 is not a perfect square, is not a perfect cube, and is not triangular.
What are the digit sum and digital root of 7402?
The digits sum to 13, producing a digital root of 4. These tests power divisibility shortcuts for 3 and 9.