Is 3,422,342 a Prime Number?
No, 3,422,342 is not a prime number
Number Properties
- Value:3,422,342
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1101000011100010000110
- Hexadecimal:343886
Prime Status
3,422,342 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 7 × 11 × 71 × 313
Divisors
Total divisors: 32
1, 2, 7, 11, 14, 22, 71, 77, 142, 154, 313, 497, 626, 781, 994, 1562, 2191, 3443, 4382, 5467, 6886, 10934, 22223, 24101, 44446, 48202, 155561, 244453, 311122, 488906, 1711171, 3422342
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.