Is 4,001,010 a Prime Number?
No, 4,001,010 is not a prime number
Number Properties
- Value:4,001,010
- Number Type:Even, Positive
- Digit Sum:6
- Total Digits:7
- Binary:1111010000110011110010
- Hexadecimal:3D0CF2
Prime Status
4,001,010 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 13 × 10259
Divisors
Total divisors: 32
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390, 10259, 20518, 30777, 51295, 61554, 102590, 133367, 153885, 266734, 307770, 400101, 666835, 800202, 1333670, 2000505, 4001010
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.