Is 3,002,475 a Prime Number?
No, 3,002,475 is not a prime number
Number Properties
- Value:3,002,475
- Number Type:Odd, Positive, Triangular
- Digit Sum:21
- Total Digits:7
- Binary:1011011101000001101011
- Hexadecimal:2DD06B
Prime Status
3,002,475 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 52 × 72 × 19 × 43
Divisors
Total divisors: 72
1, 3, 5, 7, 15, 19, 21, 25, 35, 43, 49, 57, 75, 95, 105, 129, 133, 147, 175, 215, 245, 285, 301, 399, 475, 525, 645, 665, 735, 817, 903, 931, 1075, 1225, 1425, 1505, 1995, 2107, 2451, 2793, 3225, 3325, 3675, 4085, 4515, 4655, 5719, 6321, 7525, 9975, 10535, 12255, 13965, 17157, 20425, 22575, 23275, 28595, 31605, 40033, 52675, 61275, 69825, 85785, 120099, 142975, 158025, 200165, 428925, 600495, 1000825, 3002475
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.