A224253 Reversing the exponents order in the prime factorization of n a different number with the same digits of n is obtained.

175175, 291975, 337425, 715715, 742335, 992715, 1176519, 1234800, 1329689, 1591761, 1596837, 1693725, 2398950, 3029670, 3726195, 3998250, 4321800, 4472550, 4749069, 5132946, 5157789, 6940947, 7069230, 7454250, 7693851, 8369219, 9532614, 9578751, 10114650

Offset: 1

Author

Giovanni Resta, Apr 02 2013

Keywords

• base
• nonn

Comments

Leading zeros are not allowed.

Examples

			15622947719073 and 27179160924537, which are one the anagram of the other, are both in the sequence since 15622947719073 = 3^3*19^1*47^4*79^2 and 27179160924537 = 3^2*19^4*47^1*79^3.
		

Links

• Giovanni Resta, Table of n, a(n) for n = 1..806 (terms < 10^9)

Crossrefs

Cf. A224252.

Programs

Mathematica

Do[f = FactorInteger@n; r = Reverse[t = Last /@ f]; If[r != t && Sort@ IntegerDigits[Times @@ ((First /@ f)^t)] == Sort@ IntegerDigits@n, Print@n], {n, 10^6}]