Is 3,004,890 a Prime Number?
No, 3,004,890 is not a prime number
Number Properties
- Value:3,004,890
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1011011101100111011010
- Hexadecimal:2DD9DA
Prime Status
3,004,890 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 7 × 41 × 349
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 41, 42, 70, 82, 105, 123, 205, 210, 246, 287, 349, 410, 574, 615, 698, 861, 1047, 1230, 1435, 1722, 1745, 2094, 2443, 2870, 3490, 4305, 4886, 5235, 7329, 8610, 10470, 12215, 14309, 14658, 24430, 28618, 36645, 42927, 71545, 73290, 85854, 100163, 143090, 200326, 214635, 300489, 429270, 500815, 600978, 1001630, 1502445, 3004890
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.