N6

Part of 2022 JBMO Shortlist

Problems(1)

JBMO Shortlist 2022 N6

Source: JBMO Shortlist 2022

Find all positive integers

n

for which there exists an integer multiple of

2022

such that the sum of the squares of its digits is equal to

n

number theorySum of SquaresDigitsJuniorBalkanshortlist