Is 3,429,608 a Prime Number?
No, 3,429,608 is not a prime number
Number Properties
- Value:3,429,608
- Number Type:Even, Positive
- Digit Sum:32
- Total Digits:7
- Binary:1101000101010011101000
- Hexadecimal:3454E8
Prime Status
3,429,608 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 72 × 13 × 673
Divisors
Total divisors: 48
1, 2, 4, 7, 8, 13, 14, 26, 28, 49, 52, 56, 91, 98, 104, 182, 196, 364, 392, 637, 673, 728, 1274, 1346, 2548, 2692, 4711, 5096, 5384, 8749, 9422, 17498, 18844, 32977, 34996, 37688, 61243, 65954, 69992, 122486, 131908, 244972, 263816, 428701, 489944, 857402, 1714804, 3429608
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.