Track / Stage 4 / 195 of 340 #455 of 1964

Problem 455

AMC 12 late, AIME early

Number theory Difficulty 4.8 Find the answer

There is a four-digit number, its product with 6 is a perfect cube, and its quotient with 6 is a perfect square; then this four-digit number is $\qquad$ .

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Answer: 7776

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.