Is 704,004 a Prime Number?
No, 704,004 is not a prime number
Number Properties
- Value:704,004
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:6
- Binary:10101011111000000100
- Hexadecimal:ABE04
Prime Status
704,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 172 × 29
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 29, 34, 42, 51, 58, 68, 84, 87, 102, 116, 119, 174, 203, 204, 238, 289, 348, 357, 406, 476, 493, 578, 609, 714, 812, 867, 986, 1156, 1218, 1428, 1479, 1734, 1972, 2023, 2436, 2958, 3451, 3468, 4046, 5916, 6069, 6902, 8092, 8381, 10353, 12138, 13804, 16762, 20706, 24276, 25143, 33524, 41412, 50286, 58667, 100572, 117334, 176001, 234668, 352002, 704004
Explore Nearby Primes
Understanding Prime Numbers
A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers. In other words, it has exactly two distinct positive divisors: 1 and itself.
Properties of Prime Numbers
- Every prime number except 2 is odd
- 2 is the only even prime number
- Prime numbers are infinitely many
- Prime numbers become less frequent as they get larger
- The distribution of primes follows patterns studied in number theory
Importance of Prime Numbers
- Foundation of number theory and pure mathematics
- Essential in cryptography and internet security
- Used in hash functions and random number generation
- Applied in error correction codes and data compression
- Helping solve complex problems in computer science
The first few prime numbers are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, ...
The Fundamental Theorem of Arithmetic states that every integer greater than 1 can be represented uniquely as a product of prime numbers, making primes the "building blocks" of all natural numbers.