Is 1,304,478 a Prime Number?
No, 1,304,478 is not a prime number
Number Properties
- Value:1,304,478
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:100111110011110011110
- Hexadecimal:13E79E
Prime Status
1,304,478 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 72 × 17 × 29
Divisors
Total divisors: 96
1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 27, 29, 34, 42, 49, 51, 54, 58, 63, 87, 98, 102, 119, 126, 147, 153, 174, 189, 203, 238, 261, 294, 306, 357, 378, 406, 441, 459, 493, 522, 609, 714, 783, 833, 882, 918, 986, 1071, 1218, 1323, 1421, 1479, 1566, 1666, 1827, 2142, 2499, 2646, 2842, 2958, 3213, 3451, 3654, 4263, 4437, 4998, 5481, 6426, 6902, 7497, 8526, 8874, 10353, 10962, 12789, 13311, 14994, 20706, 22491, 24157, 25578, 26622, 31059, 38367, 44982, 48314, 62118, 72471, 76734, 93177, 144942, 186354, 217413, 434826, 652239, 1304478
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.