Is 2,642,472 a Prime Number?
No, 2,642,472 is not a prime number
Number Properties
- Value:2,642,472
- Number Type:Even, Positive
- Digit Sum:27
- Total Digits:7
- Binary:1010000101001000101000
- Hexadecimal:285228
Prime Status
2,642,472 is not a prime number because it has divisors other than 1 and itself.
Prime Factorization:
23 × 32 × 73 × 107
Divisors
Total divisors: 96
1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 49, 56, 63, 72, 84, 98, 107, 126, 147, 168, 196, 214, 252, 294, 321, 343, 392, 428, 441, 504, 588, 642, 686, 749, 856, 882, 963, 1029, 1176, 1284, 1372, 1498, 1764, 1926, 2058, 2247, 2568, 2744, 2996, 3087, 3528, 3852, 4116, 4494, 5243, 5992, 6174, 6741, 7704, 8232, 8988, 10486, 12348, 13482, 15729, 17976, 20972, 24696, 26964, 31458, 36701, 41944, 47187, 53928, 62916, 73402, 94374, 110103, 125832, 146804, 188748, 220206, 293608, 330309, 377496, 440412, 660618, 880824, 1321236, 2642472
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.