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MATH / If n=1d41₈, where d represents a base-8 digit (and 1d41₈ represents a four-digit number whose second digit is d), then what is the sum of all possible values of n in base 10?

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

If n=1d418n=1d41_8, where dd represents a base-8 digit (and 1d4181d41_8 represents a four-digit number whose second digit is dd), then what is the sum of all possible values of nn in base 10?
Plain-text mathematical notation (without MathML)
If n=1d41₈, where d represents a base-8 digit (and 1d41₈ represents a four-digit number whose second digit is d), then what is the sum of all possible values of n in base 10?
Original LaTeX notation
If $n=1d41_8$, where $d$ represents a base-8 digit (and $1d41_8$ represents a four-digit number whose second digit is $d$), then what is the sum of all possible values of $n$ in base 10?

level

Level 5

type

Number Theory

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Source and history

task_id
2bd2efc8-c004-51c3-be5e-caf986c45d1d
task_key
number~5ftheory--test--2bd2efc8-c004-51c3-be5e-caf986c45d1d
task_revision_id
1
config / split
number_theory / test

Official source

initial import