Is 3,678,290 a Prime Number?
No, 3,678,290 is not a prime number
Number Properties
- Value:3,678,290
- Number Type:Even, Positive
- Digit Sum:35
- Total Digits:7
- Binary:1110000010000001010010
- Hexadecimal:382052
Prime Status
3,678,290 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 7 × 11 × 17 × 281
Divisors
Total divisors: 64
1, 2, 5, 7, 10, 11, 14, 17, 22, 34, 35, 55, 70, 77, 85, 110, 119, 154, 170, 187, 238, 281, 374, 385, 562, 595, 770, 935, 1190, 1309, 1405, 1870, 1967, 2618, 2810, 3091, 3934, 4777, 6182, 6545, 9554, 9835, 13090, 15455, 19670, 21637, 23885, 30910, 33439, 43274, 47770, 52547, 66878, 105094, 108185, 167195, 216370, 262735, 334390, 367829, 525470, 735658, 1839145, 3678290
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.