Is 242,720 a Prime Number?
No, 242,720 is not a prime number
Number Properties
- Value:242,720
- Number Type:Even, Positive
- Digit Sum:17
- Total Digits:6
- Binary:111011010000100000
- Hexadecimal:3B420
Prime Status
242,720 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 5 × 37 × 41
Divisors
Total divisors: 48
1, 2, 4, 5, 8, 10, 16, 20, 32, 37, 40, 41, 74, 80, 82, 148, 160, 164, 185, 205, 296, 328, 370, 410, 592, 656, 740, 820, 1184, 1312, 1480, 1517, 1640, 2960, 3034, 3280, 5920, 6068, 6560, 7585, 12136, 15170, 24272, 30340, 48544, 60680, 121360, 242720
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.