Is 3,407,670 a Prime Number?
No, 3,407,670 is not a prime number
Number Properties
- Value:3,407,670
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1100111111111100110110
- Hexadecimal:33FF36
Prime Status
3,407,670 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 34 × 5 × 7 × 601
Divisors
Total divisors: 80
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 27, 30, 35, 42, 45, 54, 63, 70, 81, 90, 105, 126, 135, 162, 189, 210, 270, 315, 378, 405, 567, 601, 630, 810, 945, 1134, 1202, 1803, 1890, 2835, 3005, 3606, 4207, 5409, 5670, 6010, 8414, 9015, 10818, 12621, 16227, 18030, 21035, 25242, 27045, 32454, 37863, 42070, 48681, 54090, 63105, 75726, 81135, 97362, 113589, 126210, 162270, 189315, 227178, 243405, 340767, 378630, 486810, 567945, 681534, 1135890, 1703835, 3407670
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.