Is 4,748,240 a Prime Number?
No, 4,748,240 is not a prime number
Number Properties
- Value:4,748,240
- Number Type:Even, Positive
- Digit Sum:29
- Total Digits:7
- Binary:10010000111001111010000
- Hexadecimal:4873D0
Prime Status
4,748,240 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 5 × 7 × 61 × 139
Divisors
Total divisors: 80
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 61, 70, 80, 112, 122, 139, 140, 244, 278, 280, 305, 427, 488, 556, 560, 610, 695, 854, 973, 976, 1112, 1220, 1390, 1708, 1946, 2135, 2224, 2440, 2780, 3416, 3892, 4270, 4865, 4880, 5560, 6832, 7784, 8479, 8540, 9730, 11120, 15568, 16958, 17080, 19460, 33916, 34160, 38920, 42395, 59353, 67832, 77840, 84790, 118706, 135664, 169580, 237412, 296765, 339160, 474824, 593530, 678320, 949648, 1187060, 2374120, 4748240
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.