Is 3,424,890 a Prime Number?
No, 3,424,890 is not a prime number
Number Properties
- Value:3,424,890
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1101000100001001111010
- Hexadecimal:34427A
Prime Status
3,424,890 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 7 × 47 × 347
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 47, 70, 94, 105, 141, 210, 235, 282, 329, 347, 470, 658, 694, 705, 987, 1041, 1410, 1645, 1735, 1974, 2082, 2429, 3290, 3470, 4858, 4935, 5205, 7287, 9870, 10410, 12145, 14574, 16309, 24290, 32618, 36435, 48927, 72870, 81545, 97854, 114163, 163090, 228326, 244635, 342489, 489270, 570815, 684978, 1141630, 1712445, 3424890
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.