Is 4,000,275 a Prime Number?
No, 4,000,275 is not a prime number
Number Properties
- Value:4,000,275
- Number Type:Odd, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1111010000101000010011
- Hexadecimal:3D0A13
Prime Status
4,000,275 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
32 × 52 × 23 × 773
Divisors
Total divisors: 36
1, 3, 5, 9, 15, 23, 25, 45, 69, 75, 115, 207, 225, 345, 575, 773, 1035, 1725, 2319, 3865, 5175, 6957, 11595, 17779, 19325, 34785, 53337, 57975, 88895, 160011, 173925, 266685, 444475, 800055, 1333425, 4000275
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.