Is 4,388,625 a Prime Number?
No, 4,388,625 is not a prime number
Number Properties
- Value:4,388,625
- Number Type:Odd, Positive
- Digit Sum:36
- Total Digits:7
- Binary:10000101111011100010001
- Hexadecimal:42F711
Prime Status
4,388,625 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
32 × 53 × 47 × 83
Divisors
Total divisors: 48
1, 3, 5, 9, 15, 25, 45, 47, 75, 83, 125, 141, 225, 235, 249, 375, 415, 423, 705, 747, 1125, 1175, 1245, 2075, 2115, 3525, 3735, 3901, 5875, 6225, 10375, 10575, 11703, 17625, 18675, 19505, 31125, 35109, 52875, 58515, 93375, 97525, 175545, 292575, 487625, 877725, 1462875, 4388625
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.