Is 3,794,220 a Prime Number?
No, 3,794,220 is not a prime number
Number Properties
- Value:3,794,220
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1110011110010100101100
- Hexadecimal:39E52C
Prime Status
3,794,220 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 107 × 197
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 107, 180, 197, 214, 321, 394, 428, 535, 591, 642, 788, 963, 985, 1070, 1182, 1284, 1605, 1773, 1926, 1970, 2140, 2364, 2955, 3210, 3546, 3852, 3940, 4815, 5910, 6420, 7092, 8865, 9630, 11820, 17730, 19260, 21079, 35460, 42158, 63237, 84316, 105395, 126474, 189711, 210790, 252948, 316185, 379422, 421580, 632370, 758844, 948555, 1264740, 1897110, 3794220
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.