Is 3,117,024 a Prime Number?
No, 3,117,024 is not a prime number
Number Properties
- Value:3,117,024
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1011111000111111100000
- Hexadecimal:2F8FE0
Prime Status
3,117,024 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 32 × 79 × 137
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 79, 96, 137, 144, 158, 237, 274, 288, 316, 411, 474, 548, 632, 711, 822, 948, 1096, 1233, 1264, 1422, 1644, 1896, 2192, 2466, 2528, 2844, 3288, 3792, 4384, 4932, 5688, 6576, 7584, 9864, 10823, 11376, 13152, 19728, 21646, 22752, 32469, 39456, 43292, 64938, 86584, 97407, 129876, 173168, 194814, 259752, 346336, 389628, 519504, 779256, 1039008, 1558512, 3117024
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.