Is 3,478,370 a Prime Number?
No, 3,478,370 is not a prime number
Number Properties
- Value:3,478,370
- Number Type:Even, Positive
- Digit Sum:32
- Total Digits:7
- Binary:1101010001001101100010
- Hexadecimal:351362
Prime Status
3,478,370 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 7 × 17 × 37 × 79
Divisors
Total divisors: 64
1, 2, 5, 7, 10, 14, 17, 34, 35, 37, 70, 74, 79, 85, 119, 158, 170, 185, 238, 259, 370, 395, 518, 553, 595, 629, 790, 1106, 1190, 1258, 1295, 1343, 2590, 2686, 2765, 2923, 3145, 4403, 5530, 5846, 6290, 6715, 8806, 9401, 13430, 14615, 18802, 20461, 22015, 29230, 40922, 44030, 47005, 49691, 94010, 99382, 102305, 204610, 248455, 347837, 496910, 695674, 1739185, 3478370
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.