Is 2,788,002 a Prime Number?
No, 2,788,002 is not a prime number
Number Properties
- Value:2,788,002
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1010101000101010100010
- Hexadecimal:2A8AA2
Prime Status
2,788,002 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 72 × 29 × 109
Divisors
Total divisors: 72
1, 2, 3, 6, 7, 9, 14, 18, 21, 29, 42, 49, 58, 63, 87, 98, 109, 126, 147, 174, 203, 218, 261, 294, 327, 406, 441, 522, 609, 654, 763, 882, 981, 1218, 1421, 1526, 1827, 1962, 2289, 2842, 3161, 3654, 4263, 4578, 5341, 6322, 6867, 8526, 9483, 10682, 12789, 13734, 16023, 18966, 22127, 25578, 28449, 32046, 44254, 48069, 56898, 66381, 96138, 132762, 154889, 199143, 309778, 398286, 464667, 929334, 1394001, 2788002
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.