Is 3,481,744 a Prime Number?
No, 3,481,744 is not a prime number
Number Properties
- Value:3,481,744
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1101010010000010010000
- Hexadecimal:352090
Prime Status
3,481,744 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 72 × 4441
Divisors
Total divisors: 30
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784, 4441, 8882, 17764, 31087, 35528, 62174, 71056, 124348, 217609, 248696, 435218, 497392, 870436, 1740872, 3481744
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.