Is 3,215,264 a Prime Number?
No, 3,215,264 is not a prime number
Number Properties
- Value:3,215,264
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:1100010000111110100000
- Hexadecimal:310FA0
Prime Status
3,215,264 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 13 × 59 × 131
Divisors
Total divisors: 48
1, 2, 4, 8, 13, 16, 26, 32, 52, 59, 104, 118, 131, 208, 236, 262, 416, 472, 524, 767, 944, 1048, 1534, 1703, 1888, 2096, 3068, 3406, 4192, 6136, 6812, 7729, 12272, 13624, 15458, 24544, 27248, 30916, 54496, 61832, 100477, 123664, 200954, 247328, 401908, 803816, 1607632, 3215264
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.