Is 2,401,074 a Prime Number?
No, 2,401,074 is not a prime number
Number Properties
- Value:2,401,074
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1001001010001100110010
- Hexadecimal:24A332
Prime Status
2,401,074 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
2 × 32 × 13 × 31 × 331
Divisors
Total divisors: 48
1, 2, 3, 6, 9, 13, 18, 26, 31, 39, 62, 78, 93, 117, 186, 234, 279, 331, 403, 558, 662, 806, 993, 1209, 1986, 2418, 2979, 3627, 4303, 5958, 7254, 8606, 10261, 12909, 20522, 25818, 30783, 38727, 61566, 77454, 92349, 133393, 184698, 266786, 400179, 800358, 1200537, 2401074
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.