Is 4,204,304 a Prime Number?
No, 4,204,304 is not a prime number
Number Properties
- Value:4,204,304
- Number Type:Even, Positive
- Digit Sum:17
- Total Digits:7
- Binary:10000000010011100010000
- Hexadecimal:402710
Prime Status
4,204,304 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 13 × 17 × 29 × 41
Divisors
Total divisors: 80
1, 2, 4, 8, 13, 16, 17, 26, 29, 34, 41, 52, 58, 68, 82, 104, 116, 136, 164, 208, 221, 232, 272, 328, 377, 442, 464, 493, 533, 656, 697, 754, 884, 986, 1066, 1189, 1394, 1508, 1768, 1972, 2132, 2378, 2788, 3016, 3536, 3944, 4264, 4756, 5576, 6032, 6409, 7888, 8528, 9061, 9512, 11152, 12818, 15457, 18122, 19024, 20213, 25636, 30914, 36244, 40426, 51272, 61828, 72488, 80852, 102544, 123656, 144976, 161704, 247312, 262769, 323408, 525538, 1051076, 2102152, 4204304
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.