Is 3,421,425 a Prime Number?
No, 3,421,425 is not a prime number
Number Properties
- Value:3,421,425
- Number Type:Odd, Positive
- Digit Sum:21
- Total Digits:7
- Binary:1101000011010011110001
- Hexadecimal:3434F1
Prime Status
3,421,425 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
3 × 52 × 74 × 19
Divisors
Total divisors: 60
1, 3, 5, 7, 15, 19, 21, 25, 35, 49, 57, 75, 95, 105, 133, 147, 175, 245, 285, 343, 399, 475, 525, 665, 735, 931, 1029, 1225, 1425, 1715, 1995, 2401, 2793, 3325, 3675, 4655, 5145, 6517, 7203, 8575, 9975, 12005, 13965, 19551, 23275, 25725, 32585, 36015, 45619, 60025, 69825, 97755, 136857, 162925, 180075, 228095, 488775, 684285, 1140475, 3421425
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.