Is 4,007,988 a Prime Number?
No, 4,007,988 is not a prime number
Number Properties
- Value:4,007,988
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1111010010100000110100
- Hexadecimal:3D2834
Prime Status
4,007,988 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 17 × 37 × 59
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 37, 51, 54, 59, 68, 74, 102, 108, 111, 118, 148, 153, 177, 204, 222, 236, 306, 333, 354, 444, 459, 531, 612, 629, 666, 708, 918, 999, 1003, 1062, 1258, 1332, 1593, 1836, 1887, 1998, 2006, 2124, 2183, 2516, 3009, 3186, 3774, 3996, 4012, 4366, 5661, 6018, 6372, 6549, 7548, 8732, 9027, 11322, 12036, 13098, 16983, 18054, 19647, 22644, 26196, 27081, 33966, 36108, 37111, 39294, 54162, 58941, 67932, 74222, 78588, 108324, 111333, 117882, 148444, 222666, 235764, 333999, 445332, 667998, 1001997, 1335996, 2003994, 4007988
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.