Is 4,009,356 a Prime Number?
No, 4,009,356 is not a prime number
Number Properties
- Value:4,009,356
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1111010010110110001100
- Hexadecimal:3D2D8C
Prime Status
4,009,356 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 132 × 659
Divisors
Total divisors: 54
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 169, 234, 338, 468, 507, 659, 676, 1014, 1318, 1521, 1977, 2028, 2636, 3042, 3954, 5931, 6084, 7908, 8567, 11862, 17134, 23724, 25701, 34268, 51402, 77103, 102804, 111371, 154206, 222742, 308412, 334113, 445484, 668226, 1002339, 1336452, 2004678, 4009356
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.