Is 3,664,188 a Prime Number?
No, 3,664,188 is not a prime number
Number Properties
- Value:3,664,188
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101111110100100111100
- Hexadecimal:37E93C
Prime Status
3,664,188 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 11 × 19 × 487
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 487, 627, 684, 836, 974, 1254, 1461, 1881, 1948, 2508, 2922, 3762, 4383, 5357, 5844, 7524, 8766, 9253, 10714, 16071, 17532, 18506, 21428, 27759, 32142, 37012, 48213, 55518, 64284, 83277, 96426, 101783, 111036, 166554, 192852, 203566, 305349, 333108, 407132, 610698, 916047, 1221396, 1832094, 3664188
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.