Is 2,120,121 a Prime Number?
No, 2,120,121 is not a prime number
Number Properties
- Value:2,120,121
- Number Type:Odd, Positive
- Digit Sum:9
- Total Digits:7
- Binary:1000000101100110111001
- Hexadecimal:2059B9
Prime Status
2,120,121 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
33 × 17 × 31 × 149
Divisors
Total divisors: 32
1, 3, 9, 17, 27, 31, 51, 93, 149, 153, 279, 447, 459, 527, 837, 1341, 1581, 2533, 4023, 4619, 4743, 7599, 13857, 14229, 22797, 41571, 68391, 78523, 124713, 235569, 706707, 2120121
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.