# 62 (number)

 ← 61 62 63 →
Cardinalsixty-two
Ordinal62nd
(sixty-second)
Factorization2 × 31
Divisors1, 2, 31, 62
Greek numeralΞΒ´
Roman numeralLXII
Binary1111102
Ternary20223
Octal768
Duodecimal5212

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

## In mathematics

62 is:

• The 43rd composite number with the divisors 2 and 31, being the eighteenth discrete semiprime.
• a nontotient.[1]
• palindromic and a repdigit in bases 5 (2225), 30 (2230) and 61 (1161).
• 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 squares in two 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 tenth member of the 7-aliquot tree (7, 8, 10, 14, 20, 22, 34, 38, 49, 62, 75, 118, 148, etc). It has an aliquot sum of 34; itself a discrete semiprime, and its aliquot sequence is: 62,34,20,22,14,10,8,7,1,0.
• The number of faces on a rhombicosidodecahedron.
• The 20th & 21st, 72nd & 73rd, 75th & 76th digits of pi.[4]

## Superstition

In numerology, 62 is considered an angel number, with 6 representing devotion and 2 for wisdom and flexibility.

## References

1. ^ "Sloane's A005277 : Nontotients". The On-Line Encyclopedia of Integer Sequences. OEIS Foundation. Retrieved 2016-05-30.
2. ^ "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.
3. ^ John D. Cook (5 February 2010). "Carnival of Mathematics #62".
4. ^ "On the Number 62". www.wisdomportal.com. Retrieved 2021-01-21.