2414213

2414213 is a large prime number. It is the 176824th prime number. The sequence of prime numbers is an infinite sequence of natural numbers greater than 1 that have no positive divisors other than 1 and themselves. Prime numbers are fundamental to number theory and have applications in cryptography and computer science.

The number 2414213 has no divisors other than 1 and itself. This property can be verified through various primality tests. For example, one could attempt to divide 2414213 by all prime numbers up to its square root. The square root of 2414213 is approximately 1553.77. Checking all primes in this range would confirm its primality.

The digits of 2414213 sum to 17. It is an odd number, as all prime numbers greater than 2 are odd. In base 10, the number is read as two million, four hundred fourteen thousand, two hundred thirteen. Its representation in other bases would differ.

The discovery or identification of large prime numbers is often a computational endeavor. Mathematicians and computer scientists utilize algorithms and powerful hardware to find and verify these numbers. While 2414213 is a notable prime, it is not considered an exceptionally large prime in the context of current research, which pushes into numbers with millions of digits.