Is 3,048,474 a Prime Number?
No, 3,048,474 is not a prime number
Number Properties
- Value:3,048,474
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1011101000010000011010
- Hexadecimal:2E841A
Prime Status
3,048,474 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 3 × 112 × 13 × 17 × 19
Divisors
Total divisors: 96
1, 2, 3, 6, 11, 13, 17, 19, 22, 26, 33, 34, 38, 39, 51, 57, 66, 78, 102, 114, 121, 143, 187, 209, 221, 242, 247, 286, 323, 363, 374, 418, 429, 442, 494, 561, 627, 646, 663, 726, 741, 858, 969, 1122, 1254, 1326, 1482, 1573, 1938, 2057, 2299, 2431, 2717, 3146, 3553, 4114, 4199, 4598, 4719, 4862, 5434, 6171, 6897, 7106, 7293, 8151, 8398, 9438, 10659, 12342, 12597, 13794, 14586, 16302, 21318, 25194, 26741, 29887, 39083, 46189, 53482, 59774, 78166, 80223, 89661, 92378, 117249, 138567, 160446, 179322, 234498, 277134, 508079, 1016158, 1524237, 3048474
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.