A133287 Decimal numbers that when converted to hexadecimal produce a number that uses the same digits as the original number.

0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 53, 371, 913, 4100, 5141, 5412, 6182, 8200, 9241, 75120, 75121, 75122, 75123, 75124, 75125, 75126, 75127, 75128, 75129, 75621, 86150, 91465, 98711, 99481

Offset: 1

Author

Daniel Mondot, Dec 20 2007

Keywords

• base
• easy
• fini
• nonn
• full

Comments

There are 24 numbers in all, not including single-digit numbers, that produce their anagram when converted in hexadecimal.

The decimal and hexadecimal representations must have the same digits in the same proportions. For this reason a number like 1040 is not in the sequence: it is 410 in hexadecimal and thus lacks the second zero. - Alonso del Arte, Mar 04 2013

Examples

			53 = 35_16; 371 = 173_16; 913 = 391_16; 4100 = 1004_16.
		

Programs

Mathematica

Select[Range[0, 10000], Sort[IntegerDigits[#, 10]] == Sort[IntegerDigits[#, 16]] &] (* Alonso del Arte, Mar 04 2013 *)