Is 241,408 a Prime Number?
No, 241,408 is not a prime number
Number Properties
- Value:241,408
- Number Type:Even, Positive
- Digit Sum:19
- Total Digits:6
- Binary:111010111100000000
- Hexadecimal:3AF00
Prime Status
241,408 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
28 × 23 × 41
Divisors
Total divisors: 36
1, 2, 4, 8, 16, 23, 32, 41, 46, 64, 82, 92, 128, 164, 184, 256, 328, 368, 656, 736, 943, 1312, 1472, 1886, 2624, 2944, 3772, 5248, 5888, 7544, 10496, 15088, 30176, 60352, 120704, 241408
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.