Jorge Alberto Hernandez-Ponce (Hernandez) appeals his conviction and the 46-month sentence imposed following his plea of guilty to illegally reentering the United States after deportation. He contends that his sentence was unreasonable in light of the factors set forth in 18 U.S.C. § 3553(a).

Hernandez contends that the district court imposed an unreasonable sentence in that it refused to consider the sentencing disparity between his case and those of defendants in districts which offer “fast-track” programs. This court recently rejected a nearly identical argument, holding “[t]he refusal to factor in, when sentencing a defendant, the sentencing disparity caused by early disposition programs does not render a sentence unreasonable.” United States v. Aguirre-Villa, 460 F.3d 681, 683 (5th Cir. 2006).

Hernandez’s sentence was within a properly calculated advisory guideline range and is presumed reasonable. See United States v. Alonzo, 435 F.3d 551, 554 (5th Cir. 2006). Such a sentence is given “great deference,” and we infer that the sentencing court considered all the factors for a fair sentence under § 3553(a). See United States v. Mares, 402 F.3d 511, 519-20 (5th Cir.), cert. denied, — U.S. -, 126 S.Ct. 43, 163 L.Ed.2d 76 (2005). We conclude that Hernandez has failed to rebut the presumption that his sentence, which was at the bottom of the applicable range under the Sentencing Guidelines, was reasonable. See Alonzo, 435 F.3d at 554-55.

Hernandez also argues, in light of Apprendi v. New Jersey, 530 U.S. 466, 120 S.Ct. 2348, 147 L.Ed.2d 435 (2000), that the 46-month term of imprisonment imposed in his case exceeds the statutory maximum sentence allowed for the § 1326(a) offense charged in his indictment. He challenges the constitutionality of § 1326(b)’s treatment of prior felony *470 and aggravated felony convictions as sentencing factors rather than elements of the offense that must be found by a jury.

Hernandez’s constitutional challenge is foreclosed by Almendarez-Torres v. United States, 523 U.S. 224, 235, 118 S.Ct. 1219, 140 L.Ed.2d 350 (1998). Although he contends that Almendarez-Torres was incorrectly decided and that a majority of the Supreme Court would overrule Almendarez-Torres in light of Apprend% we have repeatedly rejected such arguments on the basis that Almendarez-Torres remains binding. See United States v. Garza-Lopez, 410 F.3d 268, 276 (5th Cir.), cert. denied, — U.S. -, 126 S.Ct. 298, 163 L.Ed.2d 260 (2005). Hernandez properly concedes that his argument is foreclosed in light of Almendarez-Torres and circuit precedent, but he raises it here to preserve it for further review.

AFFIRMED.