Is 4,038,624 a Prime Number?
No, 4,038,624 is not a prime number
Number Properties
- Value:4,038,624
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1111011001111111100000
- Hexadecimal:3D9FE0
Prime Status
4,038,624 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 32 × 37 × 379
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 37, 48, 72, 74, 96, 111, 144, 148, 222, 288, 296, 333, 379, 444, 592, 666, 758, 888, 1137, 1184, 1332, 1516, 1776, 2274, 2664, 3032, 3411, 3552, 4548, 5328, 6064, 6822, 9096, 10656, 12128, 13644, 14023, 18192, 27288, 28046, 36384, 42069, 54576, 56092, 84138, 109152, 112184, 126207, 168276, 224368, 252414, 336552, 448736, 504828, 673104, 1009656, 1346208, 2019312, 4038624
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.