62 (number)

62 is the natural number following 61 and preceding 63.

In mathematics

62 is:

the eighteenth discrete semiprime and tenth of the form, where q is a higher prime.
with an aliquot sum of 34; itself a semiprime, within an aliquot sequence of seven composite numbers |34],20,22,14,10,8,7,7-aliquot [tree">7 ">7-aliquot [tree. This is the longest aliquot sequence for a semiprime up to 118 which has one more sequence member. 62 is the tenth member of the 7-aliquot tree.
a nontotient.
palindromic and a repdigit in bases 5 and 30
the sum of the number of faces, edges and vertices of icosahedron or dodecahedron.
the number of faces of two of the Archimedean solids, the rhombicosidodecahedron and truncated icosidodecahedron.
the smallest number that is the sum of three distinct positive squares in two ways,
the only number whose cube in base 10 consists of 3 digits each occurring 2 times.
The 20th and 21st, the 72nd and 73rd, and the 75th and 76th digits of Pi|.
Square root of 62

As a consequence of the mathematical coincidence that 10⁶ − 2 = 999,998 = 62 × 127², the decimal representation of the square root of 62 has a curiosity in its digits:
= 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:
Plugging in x = 10⁻⁶ yields, and =.