Is 3,764,964 a Prime Number?
No, 3,764,964 is not a prime number
Number Properties
- Value:3,764,964
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1110010111001011100100
- Hexadecimal:3972E4
Prime Status
3,764,964 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 72 × 19 × 337
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 12, 14, 19, 21, 28, 38, 42, 49, 57, 76, 84, 98, 114, 133, 147, 196, 228, 266, 294, 337, 399, 532, 588, 674, 798, 931, 1011, 1348, 1596, 1862, 2022, 2359, 2793, 3724, 4044, 4718, 5586, 6403, 7077, 9436, 11172, 12806, 14154, 16513, 19209, 25612, 28308, 33026, 38418, 44821, 49539, 66052, 76836, 89642, 99078, 134463, 179284, 198156, 268926, 313747, 537852, 627494, 941241, 1254988, 1882482, 3764964
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.