Is 3,424,860 a Prime Number?
No, 3,424,860 is not a prime number
Number Properties
- Value:3,424,860
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1101000100001001011100
- Hexadecimal:34425C
Prime Status
3,424,860 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 5 × 53 × 359
Divisors
Total divisors: 72
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 53, 60, 90, 106, 159, 180, 212, 265, 318, 359, 477, 530, 636, 718, 795, 954, 1060, 1077, 1436, 1590, 1795, 1908, 2154, 2385, 3180, 3231, 3590, 4308, 4770, 5385, 6462, 7180, 9540, 10770, 12924, 16155, 19027, 21540, 32310, 38054, 57081, 64620, 76108, 95135, 114162, 171243, 190270, 228324, 285405, 342486, 380540, 570810, 684972, 856215, 1141620, 1712430, 3424860
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.