Is 3,678,324 a Prime Number?
No, 3,678,324 is not a prime number
Number Properties
- Value:3,678,324
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1110000010000001110100
- Hexadecimal:382074
Prime Status
3,678,324 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 13 × 17 × 19 × 73
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 12, 13, 17, 19, 26, 34, 38, 39, 51, 52, 57, 68, 73, 76, 78, 102, 114, 146, 156, 204, 219, 221, 228, 247, 292, 323, 438, 442, 494, 646, 663, 741, 876, 884, 949, 969, 988, 1241, 1292, 1326, 1387, 1482, 1898, 1938, 2482, 2652, 2774, 2847, 2964, 3723, 3796, 3876, 4161, 4199, 4964, 5548, 5694, 7446, 8322, 8398, 11388, 12597, 14892, 16133, 16644, 16796, 18031, 23579, 25194, 32266, 36062, 47158, 48399, 50388, 54093, 64532, 70737, 72124, 94316, 96798, 108186, 141474, 193596, 216372, 282948, 306527, 613054, 919581, 1226108, 1839162, 3678324
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.