Is 3,421,940 a Prime Number?
No, 3,421,940 is not a prime number
Number Properties
- Value:3,421,940
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:1101000011011011110100
- Hexadecimal:3436F4
Prime Status
3,421,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 23 × 43 × 173
Divisors
Total divisors: 48
1, 2, 4, 5, 10, 20, 23, 43, 46, 86, 92, 115, 172, 173, 215, 230, 346, 430, 460, 692, 860, 865, 989, 1730, 1978, 3460, 3956, 3979, 4945, 7439, 7958, 9890, 14878, 15916, 19780, 19895, 29756, 37195, 39790, 74390, 79580, 148780, 171097, 342194, 684388, 855485, 1710970, 3421940
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.