Is 3,409,744 a Prime Number?
No, 3,409,744 is not a prime number
Number Properties
- Value:3,409,744
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1101000000011101010000
- Hexadecimal:340750
Prime Status
3,409,744 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 133 × 97
Divisors
Total divisors: 40
1, 2, 4, 8, 13, 16, 26, 52, 97, 104, 169, 194, 208, 338, 388, 676, 776, 1261, 1352, 1552, 2197, 2522, 2704, 4394, 5044, 8788, 10088, 16393, 17576, 20176, 32786, 35152, 65572, 131144, 213109, 262288, 426218, 852436, 1704872, 3409744
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.