Is 2,409,204 a Prime Number?
No, 2,409,204 is not a prime number
Number Properties
- Value:2,409,204
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1001001100001011110100
- Hexadecimal:24C2F4
Prime Status
2,409,204 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 23 × 29 × 43
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 14, 21, 23, 28, 29, 42, 43, 46, 58, 69, 84, 86, 87, 92, 116, 129, 138, 161, 172, 174, 203, 258, 276, 301, 322, 348, 406, 483, 516, 602, 609, 644, 667, 812, 903, 966, 989, 1204, 1218, 1247, 1334, 1806, 1932, 1978, 2001, 2436, 2494, 2668, 2967, 3612, 3741, 3956, 4002, 4669, 4988, 5934, 6923, 7482, 8004, 8729, 9338, 11868, 13846, 14007, 14964, 17458, 18676, 20769, 26187, 27692, 28014, 28681, 34916, 41538, 52374, 56028, 57362, 83076, 86043, 104748, 114724, 172086, 200767, 344172, 401534, 602301, 803068, 1204602, 2409204
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.