Is 2,004,408 a Prime Number?
No, 2,004,408 is not a prime number
Number Properties
- Value:2,004,408
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:111101001010110111000
- Hexadecimal:1E95B8
Prime Status
2,004,408 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 7 × 41 × 97
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 41, 42, 56, 63, 72, 82, 84, 97, 123, 126, 164, 168, 194, 246, 252, 287, 291, 328, 369, 388, 492, 504, 574, 582, 679, 738, 776, 861, 873, 984, 1148, 1164, 1358, 1476, 1722, 1746, 2037, 2296, 2328, 2583, 2716, 2952, 3444, 3492, 3977, 4074, 5166, 5432, 6111, 6888, 6984, 7954, 8148, 10332, 11931, 12222, 15908, 16296, 20664, 23862, 24444, 27839, 31816, 35793, 47724, 48888, 55678, 71586, 83517, 95448, 111356, 143172, 167034, 222712, 250551, 286344, 334068, 501102, 668136, 1002204, 2004408
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.