Is 3,407,404 a Prime Number?
No, 3,407,404 is not a prime number
Number Properties
- Value:3,407,404
- Number Type:Even, Positive
- Digit Sum:22
- Total Digits:7
- Binary:1100111111111000101100
- Hexadecimal:33FE2C
Prime Status
3,407,404 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 7 × 11 × 13 × 23 × 37
Divisors
Total divisors: 96
1, 2, 4, 7, 11, 13, 14, 22, 23, 26, 28, 37, 44, 46, 52, 74, 77, 91, 92, 143, 148, 154, 161, 182, 253, 259, 286, 299, 308, 322, 364, 407, 481, 506, 518, 572, 598, 644, 814, 851, 962, 1001, 1012, 1036, 1196, 1628, 1702, 1771, 1924, 2002, 2093, 2849, 3289, 3367, 3404, 3542, 4004, 4186, 5291, 5698, 5957, 6578, 6734, 7084, 8372, 9361, 10582, 11063, 11396, 11914, 13156, 13468, 18722, 21164, 22126, 23023, 23828, 37037, 37444, 44252, 46046, 65527, 74074, 77441, 92092, 121693, 131054, 148148, 154882, 243386, 262108, 309764, 486772, 851851, 1703702, 3407404
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.