Is 3,942,642 a Prime Number?
No, 3,942,642 is not a prime number
Number Properties
- Value:3,942,642
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1111000010100011110010
- Hexadecimal:3C28F2
Prime Status
3,942,642 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 11 × 31 × 41 × 47
Divisors
Total divisors: 64
1, 2, 3, 6, 11, 22, 31, 33, 41, 47, 62, 66, 82, 93, 94, 123, 141, 186, 246, 282, 341, 451, 517, 682, 902, 1023, 1034, 1271, 1353, 1457, 1551, 1927, 2046, 2542, 2706, 2914, 3102, 3813, 3854, 4371, 5781, 7626, 8742, 11562, 13981, 16027, 21197, 27962, 32054, 41943, 42394, 48081, 59737, 63591, 83886, 96162, 119474, 127182, 179211, 358422, 657107, 1314214, 1971321, 3942642
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.