Is 3,142,315 a Prime Number?
No, 3,142,315 is not a prime number
Number Properties
- Value:3,142,315
- Number Type:Odd, Positive
- Digit Sum:19
- Total Digits:7
- Binary:1011111111001010101011
- Hexadecimal:2FF2AB
Prime Status
3,142,315 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
5 × 11 × 19 × 31 × 97
Divisors
Total divisors: 32
1, 5, 11, 19, 31, 55, 95, 97, 155, 209, 341, 485, 589, 1045, 1067, 1705, 1843, 2945, 3007, 5335, 6479, 9215, 15035, 20273, 32395, 33077, 57133, 101365, 165385, 285665, 628463, 3142315
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.