7021

7021 is a natural number that lies between 7020 and 7022. It is an odd composite number and is often used to illustrate factorization and base conversions in number theory.

The prime factorization of 7021 is 7 × 17 × 59, making it a product of three distinct primes. Therefore 7021 is square-free. Its positive divisors are 1, 7, 17, 59, 119 (7×17), 413 (7×59), 1003 (17×59), and 7021 itself.

In different numeral bases, 7021 has distinct representations. In binary it is 1101101101101. In octal it is 15555. In hexadecimal it is 1B6D (or 1B6D in uppercase hexadecimal).

From a number-theory perspective, 7021 is not divisible by 2, 3, or 5, since its digit sum is 10 and it ends in 1. It is divisible by 7, as 7021 = 7 × 1003. The sum of its digits (10) indicates it is congruent to 1 modulo 9.

In practical terms, 7021 may appear as a catalog number, identifier, or data point in mathematical examples. There is no widely noted historical or calendrical significance associated with the year 7021, given current historical knowledge.

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