Immortal numbers

Immortality of Split Octonions

Approximation for various powers at base 10, using immortal Split 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:

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

$|\mathbb{M}^{2}_{10}|^{S^{+}}\approx\tfrac{12889+43+2+4-2}{{1}^{8}}=12936$

$|\mathbb{M}^{3}_{10}|^{S^{+}}\approx\tfrac{1436020+592+17+6-2}{{1}^{8}}=1436633$

$|\mathbb{M}^{4}_{10}|^{S^{+}}\approx\tfrac{21076+85+1+4-2}{{1}^{8}}=21164$

$|\mathbb{M}^{5}_{10}|^{S^{+}}\approx\tfrac{5696644+1638+23+10-2}{{1}^{8}}=5698% 313$

$|\mathbb{M}^{6}_{10}|^{S^{+}}\approx\tfrac{18634+40+2+4-2}{{1}^{8}}=18678$

$|\mathbb{M}^{7}_{10}|^{S^{+}}\approx\tfrac{1902257+766+21+6-2}{{1}^{8}}=1903048$

$|\mathbb{M}^{8}_{10}|^{S^{+}}\approx\tfrac{12366+53+3+4-2}{{1}^{8}}=12424$

$|\mathbb{M}^{9}_{10}|^{S^{+}}\approx\tfrac{5935729+1524+27+10-2}{{1}^{8}}=5937% 288$

$|\mathbb{M}^{10}_{10}|^{S^{+}}\approx\tfrac{18524+61+1+4-2}{{1}^{8}}=18588$