Is 3,241,940 a Prime Number?
No, 3,241,940 is not a prime number
Number Properties
- Value:3,241,940
- Number Type:Even, Positive
- Digit Sum:23
- Total Digits:7
- Binary:1100010111011111010100
- Hexadecimal:3177D4
Prime Status
3,241,940 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 5 × 13 × 37 × 337
Divisors
Total divisors: 48
1, 2, 4, 5, 10, 13, 20, 26, 37, 52, 65, 74, 130, 148, 185, 260, 337, 370, 481, 674, 740, 962, 1348, 1685, 1924, 2405, 3370, 4381, 4810, 6740, 8762, 9620, 12469, 17524, 21905, 24938, 43810, 49876, 62345, 87620, 124690, 162097, 249380, 324194, 648388, 810485, 1620970, 3241940
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.