Is 3,631,264 a Prime Number?
No, 3,631,264 is not a prime number
Number Properties
- Value:3,631,264
- Number Type:Even, Positive
- Digit Sum:25
- Total Digits:7
- Binary:1101110110100010100000
- Hexadecimal:3768A0
Prime Status
3,631,264 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 7 × 13 × 29 × 43
Divisors
Total divisors: 96
1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 29, 32, 43, 52, 56, 58, 86, 91, 104, 112, 116, 172, 182, 203, 208, 224, 232, 301, 344, 364, 377, 406, 416, 464, 559, 602, 688, 728, 754, 812, 928, 1118, 1204, 1247, 1376, 1456, 1508, 1624, 2236, 2408, 2494, 2639, 2912, 3016, 3248, 3913, 4472, 4816, 4988, 5278, 6032, 6496, 7826, 8729, 8944, 9632, 9976, 10556, 12064, 15652, 16211, 17458, 17888, 19952, 21112, 31304, 32422, 34916, 39904, 42224, 62608, 64844, 69832, 84448, 113477, 125216, 129688, 139664, 226954, 259376, 279328, 453908, 518752, 907816, 1815632, 3631264
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.