Is 442,188 a Prime Number?
No, 442,188 is not a prime number
Number Properties
- Value:442,188
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:6
- Binary:1101011111101001100
- Hexadecimal:6BF4C
Prime Status
442,188 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 71 × 173
Divisors
Total divisors: 36
1, 2, 3, 4, 6, 9, 12, 18, 36, 71, 142, 173, 213, 284, 346, 426, 519, 639, 692, 852, 1038, 1278, 1557, 2076, 2556, 3114, 6228, 12283, 24566, 36849, 49132, 73698, 110547, 147396, 221094, 442188
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.