62 (sixty-two) is the natural number following 61 and preceding 63.
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Transcription
In mathematics
62 is:
- the eighteenth discrete semiprime () 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, [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
- ^ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
- ^ "A024804: Numbers that are the sum of 3 distinct nonzero squares in 2 or more ways". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2021-03-25.
- ^ John D. Cook (5 February 2010). "Carnival of Mathematics #62".
- ^ "On the Number 62". www.wisdomportal.com. Retrieved 2021-01-21.
This page was last edited on 3 April 2024, at 17:50