3807

3807 is a natural number that lies between 3806 and 3808. It is an odd composite integer in base 10.

Its prime factorization is 3^4 × 47, since 3807 = 81 × 47. This factorization yields 10 positive divisors: 1, 3, 9, 27, 81, 47, 141, 423, 1269, 3807. Consequently, 3807 is divisible by 3, 9, 27, and 81.

In written form, 3807 can be expressed as MMMDCCCVII in Roman numerals. In binary it is 111011011111, and in hexadecimal it is 0xEDF. The number is congruent to 3 modulo 4, 2 modulo 5, and 6 modulo 7.

The sum of all divisors of 3807 is 5808, so the sum of its proper divisors is 3001. Because this value is less than 3807, 3807 is a deficient number. Its divisor structure, with a high power of 3 and a separate prime factor 47, makes it an example of a composite integer whose divisors are defined by a small prime power multiplied by another prime.

In mathematical contexts, 3807 is primarily noted for its factorization as 3^4 × 47 and its resulting divisor properties, rather than for any widely recognized special status.