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In mathematics, a powerful number is an integer n such that every prime p that divides n, p2 must also divide n. Powerful numbers are also the product of a square and a cube.

Powerful numbers are also called squareful, square-full, or 2-ful.

List of powerful numbers up to 10000[]

1, 4, 8, 9, 14, 21, 28, 30, 41, 54, 60, 69, 84, 90, X1, X5, X8, 100, 121, 144, 148, 160, 169, 183, 194, 200, 201, 230, 247, 261, 288, 294, 300, 309, 344, 358, 368, 381, 400, 441, 460, 483, 484, 509, 554, 568, 5X1, 600, 630, 681, 688, 690, 6E4, 714, 769, 799, 800, 804, 861, 900, 923, 92E, 948, 961, 964, X04, X69, XX8, E14, E81, 1000

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