Is 3,706,794 a Prime Number?
No, 3,706,794 is not a prime number
Number Properties
- Value:3,706,794
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110001000111110101010
- Hexadecimal:388FAA
Prime Status
3,706,794 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 7 × 13 × 31 × 73
Divisors
Total divisors: 96
1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 31, 39, 42, 62, 63, 73, 78, 91, 93, 117, 126, 146, 182, 186, 217, 219, 234, 273, 279, 403, 434, 438, 511, 546, 558, 651, 657, 806, 819, 949, 1022, 1209, 1302, 1314, 1533, 1638, 1898, 1953, 2263, 2418, 2821, 2847, 3066, 3627, 3906, 4526, 4599, 5642, 5694, 6643, 6789, 7254, 8463, 8541, 9198, 13286, 13578, 15841, 16926, 17082, 19929, 20367, 25389, 29419, 31682, 39858, 40734, 47523, 50778, 58838, 59787, 88257, 95046, 119574, 142569, 176514, 205933, 264771, 285138, 411866, 529542, 617799, 1235598, 1853397, 3706794
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.