Is 4,672,005 a Prime Number?
No, 4,672,005 is not a prime number
Number Properties
- Value:4,672,005
- Number Type:Odd, Positive
- Digit Sum:24
- Total Digits:7
- Binary:10001110100101000000101
- Hexadecimal:474A05
Prime Status
4,672,005 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 5 × 132 × 19 × 97
Divisors
Total divisors: 48
1, 3, 5, 13, 15, 19, 39, 57, 65, 95, 97, 169, 195, 247, 285, 291, 485, 507, 741, 845, 1235, 1261, 1455, 1843, 2535, 3211, 3705, 3783, 5529, 6305, 9215, 9633, 16055, 16393, 18915, 23959, 27645, 48165, 49179, 71877, 81965, 119795, 245895, 311467, 359385, 934401, 1557335, 4672005
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.