Is 3,171,996 a Prime Number?
No, 3,171,996 is not a prime number
Number Properties
- Value:3,171,996
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1100000110011010011100
- Hexadecimal:30669C
Prime Status
3,171,996 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 17 × 71 × 73
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 71, 73, 102, 142, 146, 153, 204, 213, 219, 284, 292, 306, 426, 438, 612, 639, 657, 852, 876, 1207, 1241, 1278, 1314, 2414, 2482, 2556, 2628, 3621, 3723, 4828, 4964, 5183, 7242, 7446, 10366, 10863, 11169, 14484, 14892, 15549, 20732, 21726, 22338, 31098, 43452, 44676, 46647, 62196, 88111, 93294, 176222, 186588, 264333, 352444, 528666, 792999, 1057332, 1585998, 3171996
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.