Is 3,664,962 a Prime Number?
No, 3,664,962 is not a prime number
Number Properties
- Value:3,664,962
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:1101111110110001000010
- Hexadecimal:37EC42
Prime Status
3,664,962 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 7 × 17 × 29 × 59
Divisors
Total divisors: 96
1, 2, 3, 6, 7, 9, 14, 17, 18, 21, 29, 34, 42, 51, 58, 59, 63, 87, 102, 118, 119, 126, 153, 174, 177, 203, 238, 261, 306, 354, 357, 406, 413, 493, 522, 531, 609, 714, 826, 986, 1003, 1062, 1071, 1218, 1239, 1479, 1711, 1827, 2006, 2142, 2478, 2958, 3009, 3422, 3451, 3654, 3717, 4437, 5133, 6018, 6902, 7021, 7434, 8874, 9027, 10266, 10353, 11977, 14042, 15399, 18054, 20706, 21063, 23954, 29087, 30798, 31059, 35931, 42126, 58174, 62118, 63189, 71862, 87261, 107793, 126378, 174522, 203609, 215586, 261783, 407218, 523566, 610827, 1221654, 1832481, 3664962
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.