A number theory problem by Rajeev Sharma
Number Theory
Level
4
How many numbers (after 1) are the sums of the cubes of their digits?
The answer is 4.
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These numbers are called 3-narcissistic numbers. See the table here .
We see from the table that the only possible numbers are 1 5 3 , 3 7 0 , 3 7 1 , 4 0 7 . Thus the answer is 4 .