49055

49055 is a number that belongs to the set of natural numbers. It is an odd number, meaning it is not divisible by 2. The number 49055 can be expressed as a sum of two squares in two different ways: 49055 = 150^2 + 235^2 and 49055 = 215^2 + 15^2. This property makes it a Pythagorean prime, a number that can be expressed as the sum of two squares in exactly one way, up to the order of the summands.

49055 is also a sphenic number, which is a positive integer that is the product of exactly three distinct prime numbers. The prime factorization of 49055 is 5 x 7 x 1701, where 1701 is also a prime number. This makes 49055 the smallest sphenic number that is a product of three prime numbers, all of which are greater than 5.

In the decimal system, 49055 is represented as XXXXXLV in Roman numerals. It is also the sum of the first 100 prime numbers. The number 49055 is notable in the context of the Collatz conjecture, a problem in mathematics that concerns a sequence defined as follows: start with any positive integer n. Then each term is obtained from the previous term as follows: if the previous term is even, the next term is one half of the previous term. If the previous term is odd, the next term is 3 times the previous term plus 1. The Collatz conjecture is that this sequence will eventually reach 1 for every positive integer n. The number 49055 is the smallest number for which the number of steps required to reach 1 is not known, although it is known that the sequence eventually reaches 1.