213 (number) explained

Number:213
Divisor:1, 3, 71, 213

213 (two hundred [and] thirteen) is the number following 212 and preceding 214.

In mathematics

213 and the other permutations of its digits are the only three-digit number whose digit sums and digit products are equal. It is a member of the quickly-growing Levine sequence, constructed from a triangle of numbers in which each row counts the copies of each value in the row below it.[1]

As the product of the two distinct prime numbers 3 and 71, it is a semiprime, the first of a triple of three consecutive semiprimes 213, 214, and 215. Its square, 2132 = 45369, is one of only 15 known squares that can be represented as a sum of distinct factorials.

See also

Notes and References

  1. Guy . Richard K. . Richard K. Guy . April 1998 . 4 . Math Horizons . 25678158 . 5–7 . What's left? . 5. 10.1080/10724117.1998.11975052 .