Is 2,431,104 a Prime Number?
No, 2,431,104 is not a prime number
Number Properties
- Value:2,431,104
- Number Type:Even, Positive
- Digit Sum:15
- Total Digits:7
- Binary:1001010001100010000000
- Hexadecimal:251880
Prime Status
2,431,104 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
27 × 3 × 13 × 487
Divisors
Total divisors: 64
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 128, 156, 192, 208, 312, 384, 416, 487, 624, 832, 974, 1248, 1461, 1664, 1948, 2496, 2922, 3896, 4992, 5844, 6331, 7792, 11688, 12662, 15584, 18993, 23376, 25324, 31168, 37986, 46752, 50648, 62336, 75972, 93504, 101296, 151944, 187008, 202592, 303888, 405184, 607776, 810368, 1215552, 2431104
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.