What is an iMIS number?

One?

If you're going to pick one, I vote for zero. But zero is rational, so it doesn't really count. This question is BS, essentially.

36 = 62 = Triangle(8) The triangle number formula: T(n) = (n2+n)/2. Here is T(8) graphically: . 1 = T(1) = 1 .. +2 = T(2) = 3 ... +3 = T(3) = 6 .... +4 = 10 ..... +5 = 15 ...... +6 = 21 ....... +7 =...

Yes - there is an infinite number of such numbers. Just take the counting numbers (1,2,3,4, etc...) and put them to the power of 6 (i.e. multiply it by itself 6 times). The sequence of such numbers...

Any number to the 6th power will be both a squared number and a cubed number. The first 10 such numbers are: 1 64 729 4096 15625 46656 117649 262144 531441 1000000