Is 2,413,224 a Prime Number?
No, 2,413,224 is not a prime number
Number Properties
- Value:2,413,224
- Number Type:Even, Positive
- Digit Sum:18
- Total Digits:7
- Binary:1001001101001010101000
- Hexadecimal:24D2A8
Prime Status
2,413,224 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 112 × 277
Divisors
Total divisors: 72
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 121, 132, 198, 242, 264, 277, 363, 396, 484, 554, 726, 792, 831, 968, 1089, 1108, 1452, 1662, 2178, 2216, 2493, 2904, 3047, 3324, 4356, 4986, 6094, 6648, 8712, 9141, 9972, 12188, 18282, 19944, 24376, 27423, 33517, 36564, 54846, 67034, 73128, 100551, 109692, 134068, 201102, 219384, 268136, 301653, 402204, 603306, 804408, 1206612, 2413224
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.