Is 3,676,134 a Prime Number?
No, 3,676,134 is not a prime number
Number Properties
- Value:3,676,134
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1110000001011111100110
- Hexadecimal:3817E6
Prime Status
3,676,134 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 7 × 11 × 73 × 109
Divisors
Total divisors: 64
1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 73, 77, 109, 146, 154, 218, 219, 231, 327, 438, 462, 511, 654, 763, 803, 1022, 1199, 1526, 1533, 1606, 2289, 2398, 2409, 3066, 3597, 4578, 4818, 5621, 7194, 7957, 8393, 11242, 15914, 16786, 16863, 23871, 25179, 33726, 47742, 50358, 55699, 87527, 111398, 167097, 175054, 262581, 334194, 525162, 612689, 1225378, 1838067, 3676134
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.