Is 2,402,624 a Prime Number?
No, 2,402,624 is not a prime number
Number Properties
- Value:2,402,624
- Number Type:Even, Positive
- Digit Sum:20
- Total Digits:7
- Binary:1001001010100101000000
- Hexadecimal:24A940
Prime Status
2,402,624 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
26 × 7 × 31 × 173
Divisors
Total divisors: 56
1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 64, 112, 124, 173, 217, 224, 248, 346, 434, 448, 496, 692, 868, 992, 1211, 1384, 1736, 1984, 2422, 2768, 3472, 4844, 5363, 5536, 6944, 9688, 10726, 11072, 13888, 19376, 21452, 37541, 38752, 42904, 75082, 77504, 85808, 150164, 171616, 300328, 343232, 600656, 1201312, 2402624
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.