SCC math professor Chris Benton gave a talk on the history of logarithms. This talk started with a brief overview of the history of multiplication. He used the multiplication problem

12 * 18during his presentation and he mentioned that216is an interesting number.216 is an even, positive, integer 216 is not prime 216 has the prime factors: 2, 2, 2, 3, 3, 3 216 is the product of two numbers-cubed (2^3 * 3^3) 216 is the sum of three numbers-cubed (3^3 + 4^3 + 5^3) 216 is 6^3 (6 * 6 * 6) 216 is Roman numeral CCXVI 216 is the sum of the twin prime pair (107, 109) 216 is a Harshad number (sum of its digits is a factor of 216)The Wikipedia claims

216is auntouchable number, but MathBabbler has not yet learned about untouchable numbers.In addition,

216is themagic constantfor the following multiplicativemagic square.+-------------+ | 2 9 12 | (row: 2*9*12 = 216) | 36 6 1 | (row: 36*6*1 = 216) | 3 4 18 | (row: 3*4*18 = 216) +-------------+ (diagonal: 2*6*18 = 216) (diagonal: 3*6*12 = 216) (column: 2*36*3 = 216) (column: 9*6*4 = 216) (column: 12*1*18 = 216)To date, MathBabbler has not done anything with magic squares.

When MathBabbler last taught about creating and maintaining webpages, he emphasized that students should only use the

216web-safe colors. [Note: The last time MathBabbler taught CSC185 was Spring 2002 (i.e. six years prior to the creation of this BAB).]

6is not^{3}666, but it is6(6)(6).## Update::2013.08.08

pballew.blogspot.com::On This Day in Math - August 4

August 4th was the

216th day of the 2013.

216is the smallest cube that's also the sum of three cubes.216= 3^3 + 4^3 + 5^3 = 6^3Source: Pat Ballew

**Creator:** Gerald Thurman
[gthurman@gmail.com]

**Created:** 24 February 2008

This work is licensed under a Creative Commons Attribution 3.0 United States License.