Is 3,431,274 a Prime Number?
No, 3,431,274 is not a prime number
Number Properties
- Value:3,431,274
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101000101101101101010
- Hexadecimal:345B6A
Prime Status
3,431,274 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 72 × 11 × 1061
Divisors
Total divisors: 48
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1061, 1078, 1617, 2122, 3183, 3234, 6366, 7427, 11671, 14854, 22281, 23342, 35013, 44562, 51989, 70026, 81697, 103978, 155967, 163394, 245091, 311934, 490182, 571879, 1143758, 1715637, 3431274
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.