Is 3,670,704 a Prime Number?
No, 3,670,704 is not a prime number
Number Properties
- Value:3,670,704
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1110000000001010110000
- Hexadecimal:3802B0
Prime Status
3,670,704 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 33 × 29 × 293
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 29, 36, 48, 54, 58, 72, 87, 108, 116, 144, 174, 216, 232, 261, 293, 348, 432, 464, 522, 586, 696, 783, 879, 1044, 1172, 1392, 1566, 1758, 2088, 2344, 2637, 3132, 3516, 4176, 4688, 5274, 6264, 7032, 7911, 8497, 10548, 12528, 14064, 15822, 16994, 21096, 25491, 31644, 33988, 42192, 50982, 63288, 67976, 76473, 101964, 126576, 135952, 152946, 203928, 229419, 305892, 407856, 458838, 611784, 917676, 1223568, 1835352, 3670704
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.