Is 4,038,990 a Prime Number?
No, 4,038,990 is not a prime number
Number Properties
- Value:4,038,990
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1111011010000101001110
- Hexadecimal:3DA14E
Prime Status
4,038,990 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 31 × 43 × 101
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 10, 15, 30, 31, 43, 62, 86, 93, 101, 129, 155, 186, 202, 215, 258, 303, 310, 430, 465, 505, 606, 645, 930, 1010, 1290, 1333, 1515, 2666, 3030, 3131, 3999, 4343, 6262, 6665, 7998, 8686, 9393, 13029, 13330, 15655, 18786, 19995, 21715, 26058, 31310, 39990, 43430, 46965, 65145, 93930, 130290, 134633, 269266, 403899, 673165, 807798, 1346330, 2019495, 4038990
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.