Immortal numbers

Immortality of Octonions

Approximation for various powers at base 10, using immortal Octonions with 1-1 digits and only positive parts;
2 is subtracted from the amount of integers in order to exclude the super immortal numbers 0 and 1:

$|\mathbb{M}^{power}_{10}|^{\mathbb{O}^{+}}\approx\tfrac{true\ octonions+pure\ % quaternions+complex\ numbers+integers-2}{{1}^{8}}$

$|\mathbb{M}^{2}_{10}|^{\mathbb{O}^{+}}\approx\tfrac{31144+43+2+4-2}{{1}^{8}}=3% 1191$

$|\mathbb{M}^{3}_{10}|^{\mathbb{O}^{+}}\approx\tfrac{5294719+592+17+6-2}{{1}^{8% }}=5295332$

$|\mathbb{M}^{4}_{10}|^{\mathbb{O}^{+}}\approx\tfrac{51436+85+1+4-2}{{1}^{8}}=5% 1524$

$|\mathbb{M}^{5}_{10}|^{\mathbb{O}^{+}}\approx\tfrac{19083133+1638+23+10-2}{{1}% ^{8}}=19084802$

$|\mathbb{M}^{6}_{10}|^{\mathbb{O}^{+}}\approx\tfrac{24360+40+2+4-2}{{1}^{8}}=2% 4404$

$|\mathbb{M}^{7}_{10}|^{\mathbb{O}^{+}}\approx\tfrac{6840142+766+21+6-2}{{1}^{8% }}=6840933$

$|\mathbb{M}^{8}_{10}|^{\mathbb{O}^{+}}\approx\tfrac{32399+53+3+4-2}{{1}^{8}}=3% 2457$

$|\mathbb{M}^{9}_{10}|^{\mathbb{O}^{+}}\approx\tfrac{10627317+1524+27+10-2}{{1}% ^{8}}=10628876$

$|\mathbb{M}^{10}_{10}|^{\mathbb{O}^{+}}\approx\tfrac{40364+61+1+4-2}{{1}^{8}}=% 40428$