Is 3,131,440 a Prime Number?
No, 3,131,440 is not a prime number
Number Properties
- Value:3,131,440
- Number Type:Even, Positive
- Digit Sum:16
- Total Digits:7
- Binary:1011111100100000110000
- Hexadecimal:2FC830
Prime Status
3,131,440 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 13 × 3011
Divisors
Total divisors: 40
1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 52, 65, 80, 104, 130, 208, 260, 520, 1040, 3011, 6022, 12044, 15055, 24088, 30110, 39143, 48176, 60220, 78286, 120440, 156572, 195715, 240880, 313144, 391430, 626288, 782860, 1565720, 3131440
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.