Is 3,632,475 a Prime Number?
No, 3,632,475 is not a prime number
Number Properties
- Value:3,632,475
- Number Type:Odd, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1101110110110101011011
- Hexadecimal:376D5B
Prime Status
3,632,475 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 52 × 7 × 11 × 17 × 37
Divisors
Total divisors: 96
1, 3, 5, 7, 11, 15, 17, 21, 25, 33, 35, 37, 51, 55, 75, 77, 85, 105, 111, 119, 165, 175, 185, 187, 231, 255, 259, 275, 357, 385, 407, 425, 525, 555, 561, 595, 629, 777, 825, 925, 935, 1155, 1221, 1275, 1295, 1309, 1785, 1887, 1925, 2035, 2775, 2805, 2849, 2975, 3145, 3885, 3927, 4403, 4675, 5775, 6105, 6475, 6545, 6919, 8547, 8925, 9435, 10175, 13209, 14025, 14245, 15725, 19425, 19635, 20757, 22015, 30525, 32725, 34595, 42735, 47175, 48433, 66045, 71225, 98175, 103785, 110075, 145299, 172975, 213675, 242165, 330225, 518925, 726495, 1210825, 3632475
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.