Immortal numbers

Immortality of Split Quaternions

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

$|\mathbb{M}^{power}_{10}|^{S^{+}}\approx\tfrac{true\ split\ quaternion\ % numbers+pure\ complex\ numbers+integers-2}{{2}^{4}}$

$|\mathbb{M}^{2}_{10}|^{S^{+}}\approx\tfrac{2021+4+6-2}{{2}^{4}}=126.8125$

$|\mathbb{M}^{3}_{10}|^{S^{+}}\approx\tfrac{227452+96+13-2}{{2}^{4}}=14222.4375$

$|\mathbb{M}^{4}_{10}|^{S^{+}}\approx\tfrac{6041+17+6-2}{{2}^{4}}=378.875$

$|\mathbb{M}^{5}_{10}|^{S^{+}}\approx\tfrac{1249956+243+22-2}{{2}^{4}}=78138.6875$

$|\mathbb{M}^{6}_{10}|^{S^{+}}\approx\tfrac{11402+34+14-2}{{2}^{4}}=715.5$

$|\mathbb{M}^{7}_{10}|^{S^{+}}\approx\tfrac{276687+100+13-2}{{2}^{4}}=17299.875$

$|\mathbb{M}^{8}_{10}|^{S^{+}}\approx\tfrac{4140+8+6-2}{{2}^{4}}=259.5$

$|\mathbb{M}^{9}_{10}|^{S^{+}}\approx\tfrac{1427433+274+22-2}{{2}^{4}}=89232.9375$

$|\mathbb{M}^{10}_{10}|^{S^{+}}\approx\tfrac{5997+7+6-2}{{2}^{4}}=375.5$