62 (sixty-two) is the natural number following 61 and preceding 63.

In mathematics

62 as the sum of three distinct positive squares.

62 is:

• the eighteenth discrete semiprime (${\displaystyle 2\times 31}$) and tenth of the form (2.q), where q is a higher prime.
• with an aliquot sum of 34; itself a semiprime, within an aliquot sequence of seven composite numbers (62,34,20,22,14,10,8,7,1,0) to the Prime in the 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 (7, 8, 10, 14, 20, 22, 34, 38, 49, 62, 75, 118, 148, etc).
• a nontotient.^[1]
• palindromic and a repdigit in bases 5 (222₅) and 30 (22₃₀)
• 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 (or more) ways, ${\displaystyle 1^{2}+5^{2}+6^{2}=2^{2}+3^{2}+7^{2}}$ ^[2]
• the only number whose cube in base 10 (238328) consists of 3 digits each occurring 2 times.^[3]
• The 20th & 21st, 72nd & 73rd, 75th & 76th digits of pi.^[4]

In science

• Sixty-two is the atomic number of samarium, a lanthanide.

In other fields

• 62 is the code for international direct dial calls to Indonesia.
• In the 1998 Home Run Race, Mark McGwire hit his 62nd home run on September 8, breaking the single-season record. Sammy Sosa hit his 62nd home run just days later on September 13.
• Under Social Security (United States), the earliest age at which a person may begin receiving retirement benefits (other than disability).

References