Is 4,064,472 a Prime Number?
No, 4,064,472 is not a prime number
Number Properties
- Value:4,064,472
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1111100000010011011000
- Hexadecimal:3E04D8
Prime Status
4,064,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 33 × 31 × 607
Divisors
Total divisors: 64
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 93, 108, 124, 186, 216, 248, 279, 372, 558, 607, 744, 837, 1116, 1214, 1674, 1821, 2232, 2428, 3348, 3642, 4856, 5463, 6696, 7284, 10926, 14568, 16389, 18817, 21852, 32778, 37634, 43704, 56451, 65556, 75268, 112902, 131112, 150536, 169353, 225804, 338706, 451608, 508059, 677412, 1016118, 1354824, 2032236, 4064472
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.