3962

3962 is a natural number that sits between 3961 and 3963. In decimal notation it is written as 3962, and its name is derived from the digits that comprise it. The digits sum to 20, and the number is even.

Mathematical properties

3962 is a composite number. Its prime factorization is 2 × 7 × 283, making it squarefree (no repeated prime factors). Consequently, its divisors are 1, 2, 7, 14, 283, 566, 1981, and 3962. The number is not divisible by 3 or 5, and it is congruent to 2 modulo 9.

Numeral representations

In Roman numerals, 3962 is MMMCMLXII. In binary it is 111101111010. In octal it is 7572, and in hexadecimal it is F7A.

Miscellaneous

Beyond its arithmetic properties, 3962 does not have a unique, widely recognized significance in mathematics or culture beyond being a distinct integer. Like many numbers, it can appear in sequences, modular arithmetic problems, and numeral system demonstrations, but it does not denote a famous constant or widely cited identifier in standard reference works.