62 (number)
Encyclopedia
62 is a natural number
following 61
and preceding 63
. It is a composite number
with the divisor
s 2 and 31 being the eighteenth discreet semiprime
. 62 has an aliquot sum of 34; itself a discrete semiprime
, and the 10 member aliquot sequence
(62,34,20,22,14,10,8,7,1,0). 62 is therefore the tenth member of the 7-aliquot tree. It is a nontotient
, and a repdigit
in base 5 (222). 62 is also the only number whose cube (238328) consists of 3 digits each occurring 2 times. Sixty-two is the atomic number
of samarium
, a lanthanide, and the code for international direct dial calls to Indonesia
. Sigmund Freud
had an irrational fear of the number 62
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.
Natural number
In mathematics, the natural numbers are the ordinary whole numbers used for counting and ordering . These purposes are related to the linguistic notions of cardinal and ordinal numbers, respectively...
following 61
61 (number)
61 is the natural number following 60 and preceding 62.-In mathematics:It is the 18th prime number. The previous is 59, with which it comprises a twin prime. Sixty-one is a cuban prime of the form p = / , x = y + 1....
and preceding 63
63 (number)
63 is a natural number following 62 and preceding 64.-In mathematics:Although a number of the form 2n - 1, 63 is not a Mersenne prime since n is not prime and 63 is certainly not prime either. It is a Woodall number and a Harshad number. It is a highly cototient number. It is a repdigit in base 4...
. It is a composite number
Composite number
A composite number is a positive integer which has a positive divisor other than one or itself. In other words a composite number is any positive integer greater than one that is not a prime number....
with the divisor
Divisor
In mathematics, a divisor of an integer n, also called a factor of n, is an integer which divides n without leaving a remainder.-Explanation:...
s 2 and 31 being the eighteenth discreet semiprime
Semiprime
In mathematics, a semiprime is a natural number that is the product of two prime numbers. The first few semiprimes are 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, ... ....
. 62 has an aliquot sum of 34; itself a discrete semiprime
Semiprime
In mathematics, a semiprime is a natural number that is the product of two prime numbers. The first few semiprimes are 4, 6, 9, 10, 14, 15, 21, 22, 25, 26, ... ....
, and the 10 member aliquot sequence
Aliquot sequence
In mathematics, an aliquot sequence is a recursive sequence in which each term is the sum of the proper divisors of the previous term. The aliquot sequence starting with a positive integer k can be defined formally in terms of the sum-of-divisors function σ1 in the following way:For example, the...
(62,34,20,22,14,10,8,7,1,0). 62 is therefore the tenth member of the 7-aliquot tree. It is a nontotient
Nontotient
In number theory, a nontotient is a positive integer n which is not in the range of Euler's totient function φ, that is, for which φ = n has no solution. In other words, n is a nontotient if there is no integer x that has exactly n coprimes below it. All odd numbers are nontotients, except 1,...
, and a repdigit
Repdigit
In recreational mathematics, a repdigit is a natural number composed of repeated instances of the same digit, most often in the decimal numeral system....
in base 5 (222). 62 is also the only number whose cube (238328) consists of 3 digits each occurring 2 times. Sixty-two is the atomic number
Atomic number
In chemistry and physics, the atomic number is the number of protons found in the nucleus of an atom and therefore identical to the charge number of the nucleus. It is conventionally represented by the symbol Z. The atomic number uniquely identifies a chemical element...
of samarium
Samarium
Samarium is a chemical element with the symbol Sm, atomic number 62 and atomic weight 150.36. It is a moderately hard silvery metal which readily oxidizes in air. Being a typical member of the lanthanide series, samarium usually assumes the oxidation state +3...
, a lanthanide, and the code for international direct dial calls to Indonesia
Indonesia
Indonesia , officially the Republic of Indonesia , is a country in Southeast Asia and Oceania. Indonesia is an archipelago comprising approximately 13,000 islands. It has 33 provinces with over 238 million people, and is the world's fourth most populous country. Indonesia is a republic, with an...
. Sigmund Freud
Sigmund Freud
Sigmund Freud , born Sigismund Schlomo Freud , was an Austrian neurologist who founded the discipline of psychoanalysis...
had an irrational fear of the number 62
In the 1998 Home Run Race, Mark McGwire
Mark McGwire
Mark David McGwire , nicknamed "Big Mac", is an American former professional baseball player who played his major league career with the Oakland Athletics and the St. Louis Cardinals. He is currently the hitting coach for the St...
hit his 62nd home run on September 8, breaking the single-season record. Sammy Sosa
Sammy Sosa
Samuel Peralta "Sammy" Sosa is a Dominican former professional baseball right fielder. Sosa played with four Major League Baseball teams over his career which spanned from 1989-2007....
hit his 62nd home run just days later on September 13.