Is 3,424,470 a Prime Number?
No, 3,424,470 is not a prime number
Number Properties
- Value:3,424,470
- Number Type:Even, Positive
- Digit Sum:24
- Total Digits:7
- Binary:1101000100000011010110
- Hexadecimal:3440D6
Prime Status
3,424,470 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 5 × 7 × 23 × 709
Divisors
Total divisors: 64
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 23, 30, 35, 42, 46, 69, 70, 105, 115, 138, 161, 210, 230, 322, 345, 483, 690, 709, 805, 966, 1418, 1610, 2127, 2415, 3545, 4254, 4830, 4963, 7090, 9926, 10635, 14889, 16307, 21270, 24815, 29778, 32614, 48921, 49630, 74445, 81535, 97842, 114149, 148890, 163070, 228298, 244605, 342447, 489210, 570745, 684894, 1141490, 1712235, 3424470
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.