## Tuesday, August 10, 2010

### 114

114 = 2 x 3 x 19.

114 is the smallest number with 10 representations as a sum of two primes: 114 = 5 + 109 = 7 + 107 = 11 + 103 = 13 + 101 = 17 + 97 = 31 + 83 = 41 + 73 = 43 + 71 = 47 + 67 = 53 + 61.

114 has the representation 27 - 14.

114 is 222 in base 7.

1142 = 12996 = (129 - 9 - 6)2.

114 is the number of different ways to color the faces of a cube with three colors.

114 appears in the Padovan sequence.

114 Kassandra is a large, dark asteroid discovered in 1871. The asteroid is featured in the 2009 film Meteor: Path to Destruction, in which it is split in two by a comet and set on a collision course with Earth.

Source: Numeropedia

#### 1 comment:

Anonymous said...

Other properties of the number 114
Sphene 114 is a number because it is the product of three prime numbers
114 is a repdigit in base 7, since 2((10^3-1)/(10-1))=222
114 is a Harshad number, since 114/(1+1+4)=19
114 can be represented as
114=4^2+7^2+7^2=5^2+5^2+8^2
It can also be represented as a Pythagorean triple
114^2+3248^2=3250^2
If the number 114 is added or rest 13, are two prime numbers, (101,127)
114 is the sum or difference of a square and a prime number
114=5^2+89=11^2-7
It is also opposed to a square and a repunit
114=15^2-111,where (10^3-1)/(9-1)=111
O difference of a cube and repunit
114=5^3 to 11, where (10^2-1)/(10-1)=11
Rafael Parra Machio