Is 3,540,012 a Prime Number?
No, 3,540,012 is not a prime number
Number Properties
- Value:3,540,012
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1101100000010000101100
- Hexadecimal:36042C
Prime Status
3,540,012 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 7 × 17 × 37 × 67
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 37, 42, 51, 67, 68, 74, 84, 102, 111, 119, 134, 148, 201, 204, 222, 238, 259, 268, 357, 402, 444, 469, 476, 518, 629, 714, 777, 804, 938, 1036, 1139, 1258, 1407, 1428, 1554, 1876, 1887, 2278, 2479, 2516, 2814, 3108, 3417, 3774, 4403, 4556, 4958, 5628, 6834, 7437, 7548, 7973, 8806, 9916, 13209, 13668, 14874, 15946, 17353, 17612, 23919, 26418, 29748, 31892, 34706, 42143, 47838, 52059, 52836, 69412, 84286, 95676, 104118, 126429, 168572, 208236, 252858, 295001, 505716, 590002, 885003, 1180004, 1770006, 3540012
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.