Is 3,690,648 a Prime Number?
No, 3,690,648 is not a prime number
Number Properties
- Value:3,690,648
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1110000101000010011000
- Hexadecimal:385098
Prime Status
3,690,648 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 13 × 3943
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936, 3943, 7886, 11829, 15772, 23658, 31544, 35487, 47316, 51259, 70974, 94632, 102518, 141948, 153777, 205036, 283896, 307554, 410072, 461331, 615108, 922662, 1230216, 1845324, 3690648
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.