Is 4,973,472 a Prime Number?
No, 4,973,472 is not a prime number
Number Properties
- Value:4,973,472
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:10010111110001110100000
- Hexadecimal:4BE3A0
Prime Status
4,973,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 32 × 7 × 2467
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 28, 32, 36, 42, 48, 56, 63, 72, 84, 96, 112, 126, 144, 168, 224, 252, 288, 336, 504, 672, 1008, 2016, 2467, 4934, 7401, 9868, 14802, 17269, 19736, 22203, 29604, 34538, 39472, 44406, 51807, 59208, 69076, 78944, 88812, 103614, 118416, 138152, 155421, 177624, 207228, 236832, 276304, 310842, 355248, 414456, 552608, 621684, 710496, 828912, 1243368, 1657824, 2486736, 4973472
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.