Is 476,748 a Prime Number?
No, 476,748 is not a prime number
Number Properties
- Value:476,748
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:6
- Binary:1110100011001001100
- Hexadecimal:7464C
Prime Status
476,748 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 17 × 19 × 41
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 17, 18, 19, 34, 36, 38, 41, 51, 57, 68, 76, 82, 102, 114, 123, 153, 164, 171, 204, 228, 246, 306, 323, 342, 369, 492, 612, 646, 684, 697, 738, 779, 969, 1292, 1394, 1476, 1558, 1938, 2091, 2337, 2788, 2907, 3116, 3876, 4182, 4674, 5814, 6273, 7011, 8364, 9348, 11628, 12546, 13243, 14022, 25092, 26486, 28044, 39729, 52972, 79458, 119187, 158916, 238374, 476748
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.