Is 3,640,040 a Prime Number?
No, 3,640,040 is not a prime number
Number Properties
- Value:3,640,040
- Number Type:Even, Positive
- Digit Sum:17
- Total Digits:7
- Binary:1101111000101011101000
- Hexadecimal:378AE8
Prime Status
3,640,040 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 17 × 53 × 101
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 53, 68, 85, 101, 106, 136, 170, 202, 212, 265, 340, 404, 424, 505, 530, 680, 808, 901, 1010, 1060, 1717, 1802, 2020, 2120, 3434, 3604, 4040, 4505, 5353, 6868, 7208, 8585, 9010, 10706, 13736, 17170, 18020, 21412, 26765, 34340, 36040, 42824, 53530, 68680, 91001, 107060, 182002, 214120, 364004, 455005, 728008, 910010, 1820020, 3640040
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.