Is 4,948,164 a Prime Number?
No, 4,948,164 is not a prime number
Number Properties
- Value:4,948,164
- Number Type:Even, Positive
- Digit Sum:36
- Total Digits:7
- Binary:10010111000000011000100
- Hexadecimal:4B80C4
Prime Status
4,948,164 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 32 × 13 × 97 × 109
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 97, 109, 117, 156, 194, 218, 234, 291, 327, 388, 436, 468, 582, 654, 873, 981, 1164, 1261, 1308, 1417, 1746, 1962, 2522, 2834, 3492, 3783, 3924, 4251, 5044, 5668, 7566, 8502, 10573, 11349, 12753, 15132, 17004, 21146, 22698, 25506, 31719, 42292, 45396, 51012, 63438, 95157, 126876, 137449, 190314, 274898, 380628, 412347, 549796, 824694, 1237041, 1649388, 2474082, 4948164
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.