a/f=abcdef/999999

Number Theory Level pending

a/f=abcdef/999999

This a base 10 cryptogram. Leading digits are not zero. 999999 represents that integer. This does not imply that the letters do not represent a digit 9.

The answer is the abcdef numerator of the right hand fraction.


The answer is 142857.

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2 solutions

Factors of 999999 9 999999\leq 9 are 1 , 3 , 7 , 9 1,3,7,9 . For all of 1 , 3 , 9 1,3,9 , the digits of a b c d e f \overline {abcdef} are all identical. For the factor 7 7 , the digits of the number are distinct. Hence a b c d e f = 99999 7 = 142857 \overline {abcdef}=\dfrac{99999}{7}=\boxed {142857} .

1/7=142857/999999

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