Is 3,131,982 a Prime Number?
No, 3,131,982 is not a prime number
Number Properties
- Value:3,131,982
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1011111100101001001110
- Hexadecimal:2FCA4E
Prime Status
3,131,982 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 72 × 53 × 67
Divisors
Total divisors: 72
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 53, 63, 67, 98, 106, 126, 134, 147, 159, 201, 294, 318, 371, 402, 441, 469, 477, 603, 742, 882, 938, 954, 1113, 1206, 1407, 2226, 2597, 2814, 3283, 3339, 3551, 4221, 5194, 6566, 6678, 7102, 7791, 8442, 9849, 10653, 15582, 19698, 21306, 23373, 24857, 29547, 31959, 46746, 49714, 59094, 63918, 74571, 149142, 173999, 223713, 347998, 447426, 521997, 1043994, 1565991, 3131982
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.