Is 3,424,428 a Prime Number?
No, 3,424,428 is not a prime number
Number Properties
- Value:3,424,428
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000100000010101100
- Hexadecimal:3440AC
Prime Status
3,424,428 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 7 × 107 × 127
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 107, 126, 127, 214, 252, 254, 321, 381, 428, 508, 642, 749, 762, 889, 963, 1143, 1284, 1498, 1524, 1778, 1926, 2247, 2286, 2667, 2996, 3556, 3852, 4494, 4572, 5334, 6741, 8001, 8988, 10668, 13482, 13589, 16002, 26964, 27178, 32004, 40767, 54356, 81534, 95123, 122301, 163068, 190246, 244602, 285369, 380492, 489204, 570738, 856107, 1141476, 1712214, 3424428
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.