Is 3,425,466 a Prime Number?
No, 3,425,466 is not a prime number
Number Properties
- Value:3,425,466
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1101000100010010111010
- Hexadecimal:3444BA
Prime Status
3,425,466 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 11 × 17 × 43 × 71
Divisors
Total divisors: 64
1, 2, 3, 6, 11, 17, 22, 33, 34, 43, 51, 66, 71, 86, 102, 129, 142, 187, 213, 258, 374, 426, 473, 561, 731, 781, 946, 1122, 1207, 1419, 1462, 1562, 2193, 2343, 2414, 2838, 3053, 3621, 4386, 4686, 6106, 7242, 8041, 9159, 13277, 16082, 18318, 24123, 26554, 33583, 39831, 48246, 51901, 67166, 79662, 100749, 103802, 155703, 201498, 311406, 570911, 1141822, 1712733, 3425466
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.