Is 4,976,004 a Prime Number?
No, 4,976,004 is not a prime number
Number Properties
- Value:4,976,004
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:10010111110110110000100
- Hexadecimal:4BED84
Prime Status
4,976,004 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 3 × 112 × 23 × 149
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 11, 12, 22, 23, 33, 44, 46, 66, 69, 92, 121, 132, 138, 149, 242, 253, 276, 298, 363, 447, 484, 506, 596, 726, 759, 894, 1012, 1452, 1518, 1639, 1788, 2783, 3036, 3278, 3427, 4917, 5566, 6556, 6854, 8349, 9834, 10281, 11132, 13708, 16698, 18029, 19668, 20562, 33396, 36058, 37697, 41124, 54087, 72116, 75394, 108174, 113091, 150788, 216348, 226182, 414667, 452364, 829334, 1244001, 1658668, 2488002, 4976004
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.