Is 4,009,512 a Prime Number?
No, 4,009,512 is not a prime number
Number Properties
- Value:4,009,512
- Number Type:Even, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1111010010111000101000
- Hexadecimal:3D2E28
Prime Status
4,009,512 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 3 × 13 × 71 × 181
Divisors
Total divisors: 64
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 71, 78, 104, 142, 156, 181, 213, 284, 312, 362, 426, 543, 568, 724, 852, 923, 1086, 1448, 1704, 1846, 2172, 2353, 2769, 3692, 4344, 4706, 5538, 7059, 7384, 9412, 11076, 12851, 14118, 18824, 22152, 25702, 28236, 38553, 51404, 56472, 77106, 102808, 154212, 167063, 308424, 334126, 501189, 668252, 1002378, 1336504, 2004756, 4009512
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.