Is 3,442,010 a Prime Number?
No, 3,442,010 is not a prime number
Number Properties
- Value:3,442,010
- Number Type:Even, Positive
- Digit Sum:14
- Total Digits:7
- Binary:1101001000010101011010
- Hexadecimal:34855A
Prime Status
3,442,010 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 5 × 11 × 13 × 29 × 83
Divisors
Total divisors: 64
1, 2, 5, 10, 11, 13, 22, 26, 29, 55, 58, 65, 83, 110, 130, 143, 145, 166, 286, 290, 319, 377, 415, 638, 715, 754, 830, 913, 1079, 1430, 1595, 1826, 1885, 2158, 2407, 3190, 3770, 4147, 4565, 4814, 5395, 8294, 9130, 10790, 11869, 12035, 20735, 23738, 24070, 26477, 31291, 41470, 52954, 59345, 62582, 118690, 132385, 156455, 264770, 312910, 344201, 688402, 1721005, 3442010
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.