Is 3,840,804 a Prime Number?
No, 3,840,804 is not a prime number
Number Properties
- Value:3,840,804
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1110101001101100100100
- Hexadecimal:3A9B24
Prime Status
3,840,804 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 11 × 53 × 61
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 44, 53, 54, 61, 66, 99, 106, 108, 122, 132, 159, 183, 198, 212, 244, 297, 318, 366, 396, 477, 549, 583, 594, 636, 671, 732, 954, 1098, 1166, 1188, 1342, 1431, 1647, 1749, 1908, 2013, 2196, 2332, 2684, 2862, 3233, 3294, 3498, 4026, 5247, 5724, 6039, 6466, 6588, 6996, 8052, 9699, 10494, 12078, 12932, 15741, 18117, 19398, 20988, 24156, 29097, 31482, 35563, 36234, 38796, 58194, 62964, 71126, 72468, 87291, 106689, 116388, 142252, 174582, 213378, 320067, 349164, 426756, 640134, 960201, 1280268, 1920402, 3840804
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.