2953

2953 is a natural number that lies between 2952 and 2954. It is an odd integer and is prime, meaning its only positive divisors are 1 and itself. Its primality is established by testing divisibility only up to the square root of 2953 (about 54), and none of the primes up to 53 divide it. Because 2953 ≡ 1 (mod 4), it can be expressed as a sum of two squares; in fact, 2953 = 53^2 + 12^2.

In different numeral systems, 2953 has these representations. In decimal it is written as 2953. In binary it is 101110001001, and in hexadecimal it is 0xB89. In Roman numerals it is MMCMLIII.

The digit sum of 2953 is 2 + 9 + 5 + 3 = 19, giving a digital root of 1. It is not divisible by 2, 3, or 5, and it is not a multiple of common small primes beyond those checks used for primality. As a prime congruent to 1 modulo 4, 2953 fits into the classical result that such primes can be represented as the sum of two squares, a property demonstrated by the explicit representation 53^2 + 12^2.

There is no widely noted mathematical constant or calendar-year significance attached to 2953 in standard references. As a numerical value, it is primarily of interest as a prime number with several straightforward representations across common numeral systems.