Is 3,131,820 a Prime Number?
No, 3,131,820 is not a prime number
Number Properties
- Value:3,131,820
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1011111100100110101100
- Hexadecimal:2FC9AC
Prime Status
3,131,820 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 127 × 137
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 127, 137, 180, 254, 274, 381, 411, 508, 548, 635, 685, 762, 822, 1143, 1233, 1270, 1370, 1524, 1644, 1905, 2055, 2286, 2466, 2540, 2740, 3810, 4110, 4572, 4932, 5715, 6165, 7620, 8220, 11430, 12330, 17399, 22860, 24660, 34798, 52197, 69596, 86995, 104394, 156591, 173990, 208788, 260985, 313182, 347980, 521970, 626364, 782955, 1043940, 1565910, 3131820
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.