174 (number)
From Halbeeg, the open encyclopedia · Af-Soomaali
47 languages
174 is a natural number, part of the sequence 1, 2, 3, ... It comes after 173 and before 175. It is an even number, since 2 divides it with no remainder.
In decimal notation it consists of three digits: one hundred, seven tens, and four units. In Roman numerals it is written CLXXIV. In binary it is 10101110, and in hexadecimal it is AE.
Factorization and divisors
174 is a composite number, meaning it has divisors other than 1 and itself. Its prime factorization is 2 × 3 × 29. Because it is the product of three distinct primes, it is classified as sphenic.
Its divisors are 1, 2, 3, 6, 29, 58, 87, and 174—eight divisors in total. The sum of all its divisors is 360. Excluding the number itself, the sum of its proper divisors (the aliquot sum) is 186. Since 186 is greater than 174, it belongs to the class of abundant numbers—those whose proper divisors sum to more than the number itself.
Other mathematical properties
174 is divisible by 2 and 3, and therefore also by 6. It is not a perfect square, since 13 squared is 169 and 14 squared is 196. It is also not a perfect cube.
General use
Like all natural numbers, 174 appears in various numbering systems: calendar dating (the year 174 AD and 174 BC), page numbers, road designations, and legal codes in certain countries. Such uses are historical references and bear no connection to the mathematical properties of the number.