Is 4,748,640 a Prime Number?
No, 4,748,640 is not a prime number
Number Properties
- Value:4,748,640
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:10010000111010101100000
- Hexadecimal:487560
Prime Status
4,748,640 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 5 × 13 × 761
Divisors
Total divisors: 96
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 32, 39, 40, 48, 52, 60, 65, 78, 80, 96, 104, 120, 130, 156, 160, 195, 208, 240, 260, 312, 390, 416, 480, 520, 624, 761, 780, 1040, 1248, 1522, 1560, 2080, 2283, 3044, 3120, 3805, 4566, 6088, 6240, 7610, 9132, 9893, 11415, 12176, 15220, 18264, 19786, 22830, 24352, 29679, 30440, 36528, 39572, 45660, 49465, 59358, 60880, 73056, 79144, 91320, 98930, 118716, 121760, 148395, 158288, 182640, 197860, 237432, 296790, 316576, 365280, 395720, 474864, 593580, 791440, 949728, 1187160, 1582880, 2374320, 4748640
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.