Is 3,479,710 a Prime Number?
No, 3,479,710 is not a prime number
Number Properties
- Value:3,479,710
- Number Type:Even, Positive
- Digit Sum:31
- Total Digits:7
- Binary:1101010001100010011110
- Hexadecimal:35189E
Prime Status
3,479,710 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 132 × 29 × 71
Divisors
Total divisors: 48
1, 2, 5, 10, 13, 26, 29, 58, 65, 71, 130, 142, 145, 169, 290, 338, 355, 377, 710, 754, 845, 923, 1690, 1846, 1885, 2059, 3770, 4118, 4615, 4901, 9230, 9802, 10295, 11999, 20590, 23998, 24505, 26767, 49010, 53534, 59995, 119990, 133835, 267670, 347971, 695942, 1739855, 3479710
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.