4202

4202 is a positive integer in the decimal numeral system. It is even and composite, positioned between 4201 and 4203.

Its prime factorization is 4202 = 2 × 11 × 191. Because it is the product of three distinct primes, 4202 is classified as a sphenic number. It has eight positive divisors: 1, 2, 11, 22, 191, 382, 2101, and 4202.

The sum of all divisors, denoted σ(4202), is (1+2)(1+11)(1+191) = 3 × 12 × 192 = 6912. The sum of proper divisors is 6912 − 4202 = 2710. Since 2710 < 4202, 4202 is a deficient number (the sum of its proper divisors does not reach half of 4202).

In different numeral systems, 4202 can be represented as follows: binary 1000001101010₂ and hexadecimal 0x106A. In Roman numerals, it can be written as MMMMCCII, though some historical conventions use alternative notations for 4000.

Context and use: In mathematics, 4202 serves as an example of a sphenic number and of a product of three distinct primes, illustrating divisor-function calculations. In general use, 4202 may appear as a numeric identifier in catalogs, model numbers, or route and product codes, independent of its arithmetic properties.