4159

4159 is a natural number that follows 4158 and precedes 4160. In mathematics, 4159 is a prime number, meaning its only positive divisors are 1 and itself. It is odd and not divisible by 2, 3, or 5, and its digits sum to 19, giving a digital root of 1.

In other bases, 4159 is 0x103F in hexadecimal, 1077 in octal, and binary 0001000000111111. These representations reflect its decimal value of 4159 as 4096 plus 63, or 2^12 plus 63, and help illustrate common base conversions used in number theory and computing.

As a prime, 4159 has no nontrivial factorization beyond 1 and itself. There are no widely recognized mathematical constants, theorems, or objects specifically associated with this number, beyond its status as a four-digit prime used in general discussions of prime numbers.

In a calendrical or historical context, 4159 could denote the year 4159 CE, a far-future date in the Gregorian calendar.