Is 3,076,164 a Prime Number?
No, 3,076,164 is not a prime number
Number Properties
- Value:3,076,164
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1011101111000001000100
- Hexadecimal:2EF044
Prime Status
3,076,164 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 7 × 13 × 313
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 313, 351, 364, 378, 468, 546, 626, 702, 756, 819, 939, 1092, 1252, 1404, 1638, 1878, 2191, 2457, 2817, 3276, 3756, 4069, 4382, 4914, 5634, 6573, 8138, 8451, 8764, 9828, 11268, 12207, 13146, 16276, 16902, 19719, 24414, 26292, 28483, 33804, 36621, 39438, 48828, 56966, 59157, 73242, 78876, 85449, 109863, 113932, 118314, 146484, 170898, 219726, 236628, 256347, 341796, 439452, 512694, 769041, 1025388, 1538082, 3076164
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.