Is 3,674,790 a Prime Number?
No, 3,674,790 is not a prime number
Number Properties
- Value:3,674,790
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110000001001010100110
- Hexadecimal:3812A6
Prime Status
3,674,790 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 5 × 7 × 19 × 307
Divisors
Total divisors: 96
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 19, 21, 30, 35, 38, 42, 45, 57, 63, 70, 90, 95, 105, 114, 126, 133, 171, 190, 210, 266, 285, 307, 315, 342, 399, 570, 614, 630, 665, 798, 855, 921, 1197, 1330, 1535, 1710, 1842, 1995, 2149, 2394, 2763, 3070, 3990, 4298, 4605, 5526, 5833, 5985, 6447, 9210, 10745, 11666, 11970, 12894, 13815, 17499, 19341, 21490, 27630, 29165, 32235, 34998, 38682, 40831, 52497, 58330, 64470, 81662, 87495, 96705, 104994, 122493, 174990, 193410, 204155, 244986, 262485, 367479, 408310, 524970, 612465, 734958, 1224930, 1837395, 3674790
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.