Is 2,459,424 a Prime Number?
No, 2,459,424 is not a prime number
Number Properties
- Value:2,459,424
- Number Type:Even, Positive
- Digit Sum:30
- Total Digits:7
- Binary:1001011000011100100000
- Hexadecimal:258720
Prime Status
2,459,424 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
25 × 3 × 11 × 17 × 137
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 8, 11, 12, 16, 17, 22, 24, 32, 33, 34, 44, 48, 51, 66, 68, 88, 96, 102, 132, 136, 137, 176, 187, 204, 264, 272, 274, 352, 374, 408, 411, 528, 544, 548, 561, 748, 816, 822, 1056, 1096, 1122, 1496, 1507, 1632, 1644, 2192, 2244, 2329, 2992, 3014, 3288, 4384, 4488, 4521, 4658, 5984, 6028, 6576, 6987, 8976, 9042, 9316, 12056, 13152, 13974, 17952, 18084, 18632, 24112, 25619, 27948, 36168, 37264, 48224, 51238, 55896, 72336, 74528, 76857, 102476, 111792, 144672, 153714, 204952, 223584, 307428, 409904, 614856, 819808, 1229712, 2459424
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.