Is 4,948,840 a Prime Number?
No, 4,948,840 is not a prime number
Number Properties
- Value:4,948,840
- Number Type:Even, Positive
- Digit Sum:37
- Total Digits:7
- Binary:10010111000001101101000
- Hexadecimal:4B8368
Prime Status
4,948,840 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 5 × 13 × 31 × 307
Divisors
Total divisors: 64
1, 2, 4, 5, 8, 10, 13, 20, 26, 31, 40, 52, 62, 65, 104, 124, 130, 155, 248, 260, 307, 310, 403, 520, 614, 620, 806, 1228, 1240, 1535, 1612, 2015, 2456, 3070, 3224, 3991, 4030, 6140, 7982, 8060, 9517, 12280, 15964, 16120, 19034, 19955, 31928, 38068, 39910, 47585, 76136, 79820, 95170, 123721, 159640, 190340, 247442, 380680, 494884, 618605, 989768, 1237210, 2474420, 4948840
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.