Is 3,676,998 a Prime Number?
No, 3,676,998 is not a prime number
Number Properties
- Value:3,676,998
- Number Type:Even, Positive
- Digit Sum:48
- Total Digits:7
- Binary:1110000001101101000110
- Hexadecimal:381B46
Prime Status
3,676,998 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 13 × 17 × 47 × 59
Divisors
Total divisors: 64
1, 2, 3, 6, 13, 17, 26, 34, 39, 47, 51, 59, 78, 94, 102, 118, 141, 177, 221, 282, 354, 442, 611, 663, 767, 799, 1003, 1222, 1326, 1534, 1598, 1833, 2006, 2301, 2397, 2773, 3009, 3666, 4602, 4794, 5546, 6018, 8319, 10387, 13039, 16638, 20774, 26078, 31161, 36049, 39117, 47141, 62322, 72098, 78234, 94282, 108147, 141423, 216294, 282846, 612833, 1225666, 1838499, 3676998
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.