Is 3,395,988 a Prime Number?
No, 3,395,988 is not a prime number
Number Properties
- Value:3,395,988
- Number Type:Even, Positive
- Digit Sum:45
- Total Digits:7
- Binary:1100111101000110010100
- Hexadecimal:33D194
Prime Status
3,395,988 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 17 × 31 × 179
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 17, 18, 31, 34, 36, 51, 62, 68, 93, 102, 124, 153, 179, 186, 204, 279, 306, 358, 372, 527, 537, 558, 612, 716, 1054, 1074, 1116, 1581, 1611, 2108, 2148, 3043, 3162, 3222, 4743, 5549, 6086, 6324, 6444, 9129, 9486, 11098, 12172, 16647, 18258, 18972, 22196, 27387, 33294, 36516, 49941, 54774, 66588, 94333, 99882, 109548, 188666, 199764, 282999, 377332, 565998, 848997, 1131996, 1697994, 3395988
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.