Is 3,627,078 a Prime Number?
No, 3,627,078 is not a prime number
Number Properties
- Value:3,627,078
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1101110101100001000110
- Hexadecimal:375846
Prime Status
3,627,078 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 72 × 132 × 73
Divisors
Total divisors: 72
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 49, 73, 78, 91, 98, 146, 147, 169, 182, 219, 273, 294, 338, 438, 507, 511, 546, 637, 949, 1014, 1022, 1183, 1274, 1533, 1898, 1911, 2366, 2847, 3066, 3549, 3577, 3822, 5694, 6643, 7098, 7154, 8281, 10731, 12337, 13286, 16562, 19929, 21462, 24674, 24843, 37011, 39858, 46501, 49686, 74022, 86359, 93002, 139503, 172718, 259077, 279006, 518154, 604513, 1209026, 1813539, 3627078
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.