8419

8419 is a natural number that follows 8418 and precedes 8420. In mathematics, it is a prime number. It is odd and greater than 2, with no positive divisors other than 1 and itself. A check of the prime divisors up to the square root of 8419 (about 91.7) yields no divisors, confirming its primality. As such, 8419 has no nontrivial factorization into integers greater than 1.

In modular arithmetic and digit-based properties: 8419 is congruent to 3 modulo 4, since 8416 is divisible by 4. It is congruent to 1 modulo 3, because the sum of digits is 22 and 22 mod 3 equals 1. It is congruent to 4 modulo 5, as the last digit is 9. The digit sum is 22, giving a digital root of 4.

There are no widely recognized constants, theorems, or named objects specifically associated with the number 8419 in standard mathematical references. As a numeric label, 8419 can appear in various contexts such as catalog numbers, model numbers, or identifiers, but such uses do not constitute inherent properties of the number itself.