Is 4,431,120 a Prime Number?
No, 4,431,120 is not a prime number
Number Properties
- Value:4,431,120
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:10000111001110100010000
- Hexadecimal:439D10
Prime Status
4,431,120 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 5 × 37 × 499
Divisors
Total divisors: 80
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 37, 40, 48, 60, 74, 80, 111, 120, 148, 185, 222, 240, 296, 370, 444, 499, 555, 592, 740, 888, 998, 1110, 1480, 1497, 1776, 1996, 2220, 2495, 2960, 2994, 3992, 4440, 4990, 5988, 7485, 7984, 8880, 9980, 11976, 14970, 18463, 19960, 23952, 29940, 36926, 39920, 55389, 59880, 73852, 92315, 110778, 119760, 147704, 184630, 221556, 276945, 295408, 369260, 443112, 553890, 738520, 886224, 1107780, 1477040, 2215560, 4431120
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.