Is 3,424,610 a Prime Number?
No, 3,424,610 is not a prime number
Number Properties
- Value:3,424,610
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1101000100000101100010
- Hexadecimal:344162
Prime Status
3,424,610 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 72 × 29 × 241
Divisors
Total divisors: 48
1, 2, 5, 7, 10, 14, 29, 35, 49, 58, 70, 98, 145, 203, 241, 245, 290, 406, 482, 490, 1015, 1205, 1421, 1687, 2030, 2410, 2842, 3374, 6989, 7105, 8435, 11809, 13978, 14210, 16870, 23618, 34945, 48923, 59045, 69890, 97846, 118090, 244615, 342461, 489230, 684922, 1712305, 3424610
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.