Is 2,400,948 a Prime Number?
No, 2,400,948 is not a prime number
Number Properties
- Value:2,400,948
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1001001010001010110100
- Hexadecimal:24A2B4
Prime Status
2,400,948 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
22 × 33 × 11 × 43 × 47
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 27, 33, 36, 43, 44, 47, 54, 66, 86, 94, 99, 108, 129, 132, 141, 172, 188, 198, 258, 282, 297, 387, 396, 423, 473, 516, 517, 564, 594, 774, 846, 946, 1034, 1161, 1188, 1269, 1419, 1548, 1551, 1692, 1892, 2021, 2068, 2322, 2538, 2838, 3102, 4042, 4257, 4644, 4653, 5076, 5676, 6063, 6204, 8084, 8514, 9306, 12126, 12771, 13959, 17028, 18189, 18612, 22231, 24252, 25542, 27918, 36378, 44462, 51084, 54567, 55836, 66693, 72756, 88924, 109134, 133386, 200079, 218268, 266772, 400158, 600237, 800316, 1200474, 2400948
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.