Is 4,011,390 a Prime Number?
No, 4,011,390 is not a prime number
Number Properties
- Value:4,011,390
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1111010011010101111110
- Hexadecimal:3D357E
Prime Status
4,011,390 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 33 × 5 × 83 × 179
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 83, 90, 135, 166, 179, 249, 270, 358, 415, 498, 537, 747, 830, 895, 1074, 1245, 1494, 1611, 1790, 2241, 2490, 2685, 3222, 3735, 4482, 4833, 5370, 7470, 8055, 9666, 11205, 14857, 16110, 22410, 24165, 29714, 44571, 48330, 74285, 89142, 133713, 148570, 222855, 267426, 401139, 445710, 668565, 802278, 1337130, 2005695, 4011390
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.