Is 3,395,744 a Prime Number?
No, 3,395,744 is not a prime number
Number Properties
- Value:3,395,744
- Number Type:Even, Positive
- Digit Sum:35
- Total Digits:7
- Binary:1100111101000010100000
- Hexadecimal:33D0A0
Prime Status
3,395,744 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 112 × 877
Divisors
Total divisors: 36
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 121, 176, 242, 352, 484, 877, 968, 1754, 1936, 3508, 3872, 7016, 9647, 14032, 19294, 28064, 38588, 77176, 106117, 154352, 212234, 308704, 424468, 848936, 1697872, 3395744
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.