Is 3,013,725 a Prime Number?
No, 3,013,725 is not a prime number
Number Properties
- Value:3,013,725
- Number Type:Odd, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1011011111110001011101
- Hexadecimal:2DFC5D
Prime Status
3,013,725 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 52 × 11 × 13 × 281
Divisors
Total divisors: 48
1, 3, 5, 11, 13, 15, 25, 33, 39, 55, 65, 75, 143, 165, 195, 275, 281, 325, 429, 715, 825, 843, 975, 1405, 2145, 3091, 3575, 3653, 4215, 7025, 9273, 10725, 10959, 15455, 18265, 21075, 40183, 46365, 54795, 77275, 91325, 120549, 200915, 231825, 273975, 602745, 1004575, 3013725
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.