Is 4,009,590 a Prime Number?
No, 4,009,590 is not a prime number
Number Properties
- Value:4,009,590
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1111010010111001110110
- Hexadecimal:3D2E76
Prime Status
4,009,590 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 5 × 13 × 23 × 149
Divisors
Total divisors: 96
1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 23, 26, 30, 39, 45, 46, 65, 69, 78, 90, 115, 117, 130, 138, 149, 195, 207, 230, 234, 298, 299, 345, 390, 414, 447, 585, 598, 690, 745, 894, 897, 1035, 1170, 1341, 1490, 1495, 1794, 1937, 2070, 2235, 2682, 2691, 2990, 3427, 3874, 4470, 4485, 5382, 5811, 6705, 6854, 8970, 9685, 10281, 11622, 13410, 13455, 17135, 17433, 19370, 20562, 26910, 29055, 30843, 34270, 34866, 44551, 51405, 58110, 61686, 87165, 89102, 102810, 133653, 154215, 174330, 222755, 267306, 308430, 400959, 445510, 668265, 801918, 1336530, 2004795, 4009590
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.