Is 3,609,996 a Prime Number?
No, 3,609,996 is not a prime number
Number Properties
- Value:3,609,996
- Number Type:Even, Positive
- Digit Sum:42
- Total Digits:7
- Binary:1101110001010110001100
- Hexadecimal:37158C
Prime Status
3,609,996 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 13 × 73 × 317
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 73, 78, 146, 156, 219, 292, 317, 438, 634, 876, 949, 951, 1268, 1898, 1902, 2847, 3796, 3804, 4121, 5694, 8242, 11388, 12363, 16484, 23141, 24726, 46282, 49452, 69423, 92564, 138846, 277692, 300833, 601666, 902499, 1203332, 1804998, 3609996
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.