2148

2148 is the natural number that comes after 2147 and before 2149. In mathematics, it is an even composite number. Its prime factorization is 2^2 × 3 × 179, meaning it has twelve positive divisors: 1, 2, 3, 4, 6, 12, 179, 358, 537, 716, 1074, and 2148. Consequently, it is divisible by 2, 3, 4, 6, 12, and 179, among others; it is not divisible by 5 or 7, and it is not a power of a prime.

In various numeral systems, 2148 is represented differently: in binary it is 100001100100_2; in octal it is 4144_8; in hexadecimal it is 0x864. In Roman numerals, 2148 is MMCXLVIII.

The digit sum is 15, and the digital root is 6, so the number is divisible by 3. The number is also divisible by 4, since the last two digits form 48, which is divisible by 4. The digit structure and factorization make 2148 a common example in introductory number theory discussions involving divisibility and factorization.

As a calendar reference, 2148 can designate a year in the Gregorian calendar, which would place it in the 22nd century. No widely recognized historical events are associated with the number itself; its significance is primarily mathematical or contextual depending on usage.