Is 3,673,008 a Prime Number?
No, 3,673,008 is not a prime number
Number Properties
- Value:3,673,008
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1110000000101110110000
- Hexadecimal:380BB0
Prime Status
3,673,008 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 32 × 23 × 1109
Divisors
Total divisors: 60
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 23, 24, 36, 46, 48, 69, 72, 92, 138, 144, 184, 207, 276, 368, 414, 552, 828, 1104, 1109, 1656, 2218, 3312, 3327, 4436, 6654, 8872, 9981, 13308, 17744, 19962, 25507, 26616, 39924, 51014, 53232, 76521, 79848, 102028, 153042, 159696, 204056, 229563, 306084, 408112, 459126, 612168, 918252, 1224336, 1836504, 3673008
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.