Is 3,131,271 a Prime Number?
No, 3,131,271 is not a prime number
Number Properties
- Value:3,131,271
- Number Type:Odd, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1011111100011110000111
- Hexadecimal:2FC787
Prime Status
3,131,271 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
33 × 11 × 13 × 811
Divisors
Total divisors: 32
1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 297, 351, 429, 811, 1287, 2433, 3861, 7299, 8921, 10543, 21897, 26763, 31629, 80289, 94887, 115973, 240867, 284661, 347919, 1043757, 3131271
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.