Is 4,011,048 a Prime Number?
No, 4,011,048 is not a prime number
Number Properties
- Value:4,011,048
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1111010011010000101000
- Hexadecimal:3D3428
Prime Status
4,011,048 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 17 × 29 × 113
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 29, 34, 36, 51, 58, 68, 72, 87, 102, 113, 116, 136, 153, 174, 204, 226, 232, 261, 306, 339, 348, 408, 452, 493, 522, 612, 678, 696, 904, 986, 1017, 1044, 1224, 1356, 1479, 1921, 1972, 2034, 2088, 2712, 2958, 3277, 3842, 3944, 4068, 4437, 5763, 5916, 6554, 7684, 8136, 8874, 9831, 11526, 11832, 13108, 15368, 17289, 17748, 19662, 23052, 26216, 29493, 34578, 35496, 39324, 46104, 55709, 58986, 69156, 78648, 111418, 117972, 138312, 167127, 222836, 235944, 334254, 445672, 501381, 668508, 1002762, 1337016, 2005524, 4011048
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.