"powerful number" meaning in English

{
  "forms": [
    {
      "form": "powerful numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "powerful number (plural powerful numbers)",
      "name": "en-noun"
    }
  ],
  "hyphenation": [
    "pow‧er‧ful"
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
          ],
          "source": "w"
        },
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          "source": "w"
        },
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "A positive integer m such that for every prime number p dividing m, p² also divides m. Equivalently, it is the product of a square and a cube."
      ],
      "id": "en-powerful_number-en-noun-en:Q3191171",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "positive",
          "positive"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "prime number",
          "prime number"
        ],
        [
          "product",
          "product"
        ],
        [
          "square",
          "square"
        ],
        [
          "cube",
          "cube"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A positive integer m such that for every prime number p dividing m, p² also divides m. Equivalently, it is the product of a square and a cube."
      ],
      "related": [
        {
          "word": "squareful"
        }
      ],
      "senseid": [
        "en:Q3191171"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "code": "eo",
          "lang": "Esperanto",
          "sense": "integer where each prime number dividing it can be squared to still divide it",
          "word": "pova nombro"
        }
      ],
      "wikidata": [
        "Q3191171"
      ]
    }
  ],
  "sounds": [
    {
      "enpr": "pou′ər-fəl nŭm′bər"
    }
  ],
  "word": "powerful number"
}

{
  "forms": [
    {
      "form": "powerful numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "powerful number (plural powerful numbers)",
      "name": "en-noun"
    }
  ],
  "hyphenation": [
    "pow‧er‧ful"
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "related": [
    {
      "word": "squareful"
    }
  ],
  "senses": [
    {
      "categories": [
        "English countable nouns",
        "English entries with incorrect language header",
        "English lemmas",
        "English multiword terms",
        "English nouns",
        "Entries with translation boxes",
        "Pages with 1 entry",
        "Pages with entries",
        "Terms with Esperanto translations",
        "en:Mathematics"
      ],
      "glosses": [
        "A positive integer m such that for every prime number p dividing m, p² also divides m. Equivalently, it is the product of a square and a cube."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "positive",
          "positive"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "prime number",
          "prime number"
        ],
        [
          "product",
          "product"
        ],
        [
          "square",
          "square"
        ],
        [
          "cube",
          "cube"
        ]
      ],
      "raw_glosses": [
        "(mathematics) A positive integer m such that for every prime number p dividing m, p² also divides m. Equivalently, it is the product of a square and a cube."
      ],
      "senseid": [
        "en:Q3191171"
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "wikidata": [
        "Q3191171"
      ]
    }
  ],
  "sounds": [
    {
      "enpr": "pou′ər-fəl nŭm′bər"
    }
  ],
  "translations": [
    {
      "code": "eo",
      "lang": "Esperanto",
      "sense": "integer where each prime number dividing it can be squared to still divide it",
      "word": "pova nombro"
    }
  ],
  "word": "powerful number"
}