5729

5729 is a positive integer used in mathematics and numeral notation. It is composite, with prime factorization 5729 = 17 × 337. Its positive divisors are 1, 17, 337, and 5729.

Mathematically, 5729 is odd and not divisible by 3 or 5 (the sum of its digits is 23). It is congruent to 1 modulo 8 and to 5 modulo 9. By the two-square theorem, a number that is a product of primes each expressible as a sum of two squares can itself be written as a sum of two squares; indeed, 5729 can be represented as 73^2 + 20^2.

In other numeral systems, 5729 is 0x1661 in hexadecimal and 1011001100001 in binary. These representations reflect its decimal value and help illustrate typical conversions between bases.

Historical and calendar context can also be associated with the number. In the Hebrew calendar, the year 5729 corresponds roughly to the period 1968–1969 CE, beginning in the fall of 1968 and ending in the fall of 1969.

In summary, 5729 is a small composite integer characterized by its factors 17 and 337, its representation as a sum of two squares (such as 73^2 + 20^2), and its standard decimal, binary, and hexadecimal forms.