## Friday, August 20, 2010

### 6989

6989 = 29 x 241.

6989 has two representations as a sum of two squares: 6989 = 102 + 832 = 502+ 672.

6989 is the hypotenuse of two primitive Pythagorean triples: 69892 = 16602 + 67892 = 19892 + 67002.

6989 is a divisor of 308 - 1.

6989 has the property that the concatenation of its prime factors in increasing order is a square: 29241 = 1712.

6989 "Wightwick Hall," currently being restored, was the second last steam locomotive to be commissioned by the Great Western Railway Company before British Railways took over.

#### 1 comment:

Anonymous said...

Other properties in the number 6989:
6989 can be represented as Pythagorean triples
6989^2=3480^2+6061^2=4820^2+5061^2
6989^2+28620^2=29461^2
6989^2+24423060^2=24423031^2
(6989^2)^2=22539480^2+43334921^2
(6989^2)^2=26652600^2+40933879^2
6989 can be divided into the sum of three prime numbers using or Egyptian unit fractions:
1/29+1/241=Q/(Q+1), Q = 270/6719 where 6719 is prime and 270=2*3^3*5
1/10+1/27=Q/(Q+1), Q=37/233 where 37 and 233 are prime, then
6989=37+233+6719, see http:hojamat.es/parra/p2010
Fun Facts about the number 6989
The prime numbers 56989, 69899 and 96989 contains the string "6989"
The string "6989" took the position 43894 in the decimal places of pi, see
http:www.angio.net/Pi/bigpi
Rafael Parra Machio