Is 3,107,104 a Prime Number?
No, 3,107,104 is not a prime number
Number Properties
- Value:3,107,104
- Number Type:Even, Positive
- Digit Sum:16
- Total Digits:7
- Binary:1011110110100100100000
- Hexadecimal:2F6920
Prime Status
3,107,104 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 7 × 11 × 13 × 97
Divisors
Total divisors: 96
1, 2, 4, 7, 8, 11, 13, 14, 16, 22, 26, 28, 32, 44, 52, 56, 77, 88, 91, 97, 104, 112, 143, 154, 176, 182, 194, 208, 224, 286, 308, 352, 364, 388, 416, 572, 616, 679, 728, 776, 1001, 1067, 1144, 1232, 1261, 1358, 1456, 1552, 2002, 2134, 2288, 2464, 2522, 2716, 2912, 3104, 4004, 4268, 4576, 5044, 5432, 7469, 8008, 8536, 8827, 10088, 10864, 13871, 14938, 16016, 17072, 17654, 20176, 21728, 27742, 29876, 32032, 34144, 35308, 40352, 55484, 59752, 70616, 97097, 110968, 119504, 141232, 194194, 221936, 239008, 282464, 388388, 443872, 776776, 1553552, 3107104
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.