the eighteenth discretesemiprime () and tenth of the form (2.q), where q is a higher prime.
with analiquot sum of34; itself asemiprime, within analiquot sequence of seven composite numbers (62,34,20,22,14,10,8,7,1,0) to the Prime in the7-aliquot tree. This is the longest aliquot sequence for a semiprime up to118 which has one more sequence member. 62 is the tenth member of the 7-aliquot tree (7, 8, 10, 14, 20, 22, 34, 38, 49, 62, 75, 118, 148, etc).
As a consequence of themathematical coincidence that 106 − 2 = 999,998 = 62 × 1272, the decimal representation of the square root of 62 has a curiosity in its digits:[5]
= 7.874 007874 011811 019685 034448 812007 ...
For the first 22 significant figures, each six-digit block is 7,874 or a half-integer multiple of it.
7,874 × 1.5 = 11,811
7,874 × 2.5 = 19,685
The pattern follows from the following polynomial series:
