Is 4,736,376 a Prime Number?
No, 4,736,376 is not a prime number
Number Properties
- Value:4,736,376
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:10010000100010101111000
- Hexadecimal:484578
Prime Status
4,736,376 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 157 × 419
Divisors
Total divisors: 48
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 157, 314, 419, 471, 628, 838, 942, 1256, 1257, 1413, 1676, 1884, 2514, 2826, 3352, 3768, 3771, 5028, 5652, 7542, 10056, 11304, 15084, 30168, 65783, 131566, 197349, 263132, 394698, 526264, 592047, 789396, 1184094, 1578792, 2368188, 4736376
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.