Is 426,006 a Prime Number?
No, 426,006 is not a prime number
Number Properties
- Value:426,006
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:6
- Binary:1101000000000010110
- Hexadecimal:68016
Prime Status
426,006 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 73 × 23
Divisors
Total divisors: 64
1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 27, 42, 46, 49, 54, 63, 69, 98, 126, 138, 147, 161, 189, 207, 294, 322, 343, 378, 414, 441, 483, 621, 686, 882, 966, 1029, 1127, 1242, 1323, 1449, 2058, 2254, 2646, 2898, 3087, 3381, 4347, 6174, 6762, 7889, 8694, 9261, 10143, 15778, 18522, 20286, 23667, 30429, 47334, 60858, 71001, 142002, 213003, 426006
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.