Is 3,694,890 a Prime Number?
No, 3,694,890 is not a prime number
Number Properties
- Value:3,694,890
- Number Type:Even, Positive
- Digit Sum:39
- Total Digits:7
- Binary:1110000110000100101010
- Hexadecimal:38612A
Prime Status
3,694,890 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 29 × 31 × 137
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 10, 15, 29, 30, 31, 58, 62, 87, 93, 137, 145, 155, 174, 186, 274, 290, 310, 411, 435, 465, 685, 822, 870, 899, 930, 1370, 1798, 2055, 2697, 3973, 4110, 4247, 4495, 5394, 7946, 8494, 8990, 11919, 12741, 13485, 19865, 21235, 23838, 25482, 26970, 39730, 42470, 59595, 63705, 119190, 123163, 127410, 246326, 369489, 615815, 738978, 1231630, 1847445, 3694890
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.