perplexus.info :: Numbers : Double the Digits

Double the Digits (Posted on 2023-09-28)

The binary integer 110101 has 2 zeroes and 4 ones. Its square 101011111001 has double that, namely 4 zeroes and 8 ones.

Similarly, the ternary integer 20211 has 1 zero, 2 ones and 2 twos. Its square 1201102221 has double that, namely 2 zeroes, 4 ones and 4 twos.

Find the first 3 decimal (base ten) integers with this property.

Submitted by K Sengupta

Rating: 5.0000 (1 votes)

Solution: (Hide)

The first six base ten positive integers with this property are:
72576, 406512, 415278,494462, 603297, and 725760
For an explanation, refer to:
The solution submitted by Charlie in this location.
The solution submitted by Larry in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Computer solution	Larry	2023-09-28 11:12:02
computer solution	Charlie	2023-09-28 08:47:43

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