Is 2,449,746 a Prime Number?
No, 2,449,746 is not a prime number
Number Properties
- Value:2,449,746
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1001010110000101010010
- Hexadecimal:256152
Prime Status
2,449,746 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 13 × 192 × 29
Divisors
Total divisors: 72
1, 2, 3, 6, 9, 13, 18, 19, 26, 29, 38, 39, 57, 58, 78, 87, 114, 117, 171, 174, 234, 247, 261, 342, 361, 377, 494, 522, 551, 722, 741, 754, 1083, 1102, 1131, 1482, 1653, 2166, 2223, 2262, 3249, 3306, 3393, 4446, 4693, 4959, 6498, 6786, 7163, 9386, 9918, 10469, 14079, 14326, 20938, 21489, 28158, 31407, 42237, 42978, 62814, 64467, 84474, 94221, 128934, 136097, 188442, 272194, 408291, 816582, 1224873, 2449746
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.