4004000

4004000, written with comma as 4,004,000, is the natural number that follows 4,003,999 and precedes 4,004,001. In words, it is four million four thousand. It can be expressed as 4,004 × 1,000 or equivalently as 4,000 × 1,001, highlighting its composition from small factors.

Mathematical properties

The prime factorization of 4,004,000 is 2^5 × 5^3 × 7 × 11 × 13. This makes it an even, highly composite number with several divisors. It is divisible by 1000 and by 4000, since 4,004,000 = 4,004 × 1000 = 4,000 × 1,001. It also equals 1001 × 4000, giving a quotient of 4000 when divided by 1001. The sum of its digits is 8, so it is not divisible by 3 or 9, and the number ends with three zeros, indicating divisibility by powers of 10 up to 1000. The highest power of 2 dividing the number is 2^5 (32), so it is divisible by 32 but not by 64.

Context and usage

In practice, 4,004,000 can appear as a numeric identifier, a catalog or inventory code, or a data sample in mathematical or computational contexts. It is not commonly associated with a widely recognized historical event, person, or entity, but its factorization and divisibility properties can be relevant in arithmetic, factorization exercises, or software testing where specific multiples and round-number patterns are useful.