Is 2,474,736 a Prime Number?
No, 2,474,736 is not a prime number
Number Properties
- Value:2,474,736
- Number Type:Even, Positive
- Digit Sum:33
- Total Digits:7
- Binary:1001011100001011110000
- Hexadecimal:25C2F0
Prime Status
2,474,736 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
24 × 3 × 11 × 43 × 109
Divisors
Total divisors: 80
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 43, 44, 48, 66, 86, 88, 109, 129, 132, 172, 176, 218, 258, 264, 327, 344, 436, 473, 516, 528, 654, 688, 872, 946, 1032, 1199, 1308, 1419, 1744, 1892, 2064, 2398, 2616, 2838, 3597, 3784, 4687, 4796, 5232, 5676, 7194, 7568, 9374, 9592, 11352, 14061, 14388, 18748, 19184, 22704, 28122, 28776, 37496, 51557, 56244, 57552, 74992, 103114, 112488, 154671, 206228, 224976, 309342, 412456, 618684, 824912, 1237368, 2474736
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.