"cyclic number" meaning in English

{
  "forms": [
    {
      "form": "cyclic numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cyclic number (plural cyclic numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Mathematics",
          "orig": "en:Mathematics",
          "parents": [
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        }
      ],
      "glosses": [
        "An integer for which cyclic permutations of the digits are successive integer multiples of the number."
      ],
      "id": "en-cyclic_number-en-noun-fwO0~8kn",
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "permutation",
          "permutation"
        ],
        [
          "digit",
          "digit"
        ],
        [
          "multiple",
          "multiple"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An integer for which cyclic permutations of the digits are successive integer multiples of the number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ],
      "translations": [
        {
          "_dis1": "95 5",
          "code": "fi",
          "lang": "Finnish",
          "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
          "word": "syklinen luku"
        },
        {
          "_dis1": "95 5",
          "code": "de",
          "lang": "German",
          "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
          "tags": [
            "feminine"
          ],
          "word": "zyklische Zahl"
        },
        {
          "_dis1": "95 5",
          "code": "pl",
          "lang": "Polish",
          "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
          "tags": [
            "feminine"
          ],
          "word": "liczba kolista"
        }
      ]
    },
    {
      "categories": [
        {
          "kind": "topical",
          "langcode": "en",
          "name": "Group theory",
          "orig": "en:Group theory",
          "parents": [
            "Algebra",
            "Mathematics",
            "Formal sciences",
            "Sciences",
            "All topics",
            "Fundamental"
          ],
          "source": "w"
        },
        {
          "_dis": "33 67",
          "kind": "other",
          "name": "English entries with incorrect language header",
          "parents": [
            "Entries with incorrect language header",
            "Entry maintenance"
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          "source": "w+disamb"
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        {
          "_dis": "17 83",
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        },
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          "_dis": "21 79",
          "kind": "other",
          "name": "Pages with 1 entry",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "28 72",
          "kind": "other",
          "name": "Pages with entries",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "25 75",
          "kind": "other",
          "name": "Terms with Finnish translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "25 75",
          "kind": "other",
          "name": "Terms with German translations",
          "parents": [],
          "source": "w+disamb"
        },
        {
          "_dis": "28 72",
          "kind": "other",
          "name": "Terms with Polish translations",
          "parents": [],
          "source": "w+disamb"
        }
      ],
      "glosses": [
        "A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
      ],
      "id": "en-cyclic_number-en-noun-EAHZaQyZ",
      "links": [
        [
          "group theory",
          "group theory"
        ],
        [
          "natural number",
          "natural number"
        ],
        [
          "φ",
          "φ"
        ],
        [
          "Euler's totient function",
          "Euler's totient function"
        ],
        [
          "coprime",
          "coprime"
        ]
      ],
      "raw_glosses": [
        "(group theory) A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
      ],
      "topics": [
        "group-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "word": "cyclic number"
}

{
  "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 Finnish translations",
    "Terms with German translations",
    "Terms with Polish translations"
  ],
  "forms": [
    {
      "form": "cyclic numbers",
      "tags": [
        "plural"
      ]
    }
  ],
  "head_templates": [
    {
      "args": {},
      "expansion": "cyclic number (plural cyclic numbers)",
      "name": "en-noun"
    }
  ],
  "lang": "English",
  "lang_code": "en",
  "pos": "noun",
  "senses": [
    {
      "categories": [
        "en:Mathematics"
      ],
      "glosses": [
        "An integer for which cyclic permutations of the digits are successive integer multiples of the number."
      ],
      "links": [
        [
          "mathematics",
          "mathematics"
        ],
        [
          "integer",
          "integer"
        ],
        [
          "permutation",
          "permutation"
        ],
        [
          "digit",
          "digit"
        ],
        [
          "multiple",
          "multiple"
        ]
      ],
      "raw_glosses": [
        "(mathematics) An integer for which cyclic permutations of the digits are successive integer multiples of the number."
      ],
      "topics": [
        "mathematics",
        "sciences"
      ]
    },
    {
      "categories": [
        "en:Group theory"
      ],
      "glosses": [
        "A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
      ],
      "links": [
        [
          "group theory",
          "group theory"
        ],
        [
          "natural number",
          "natural number"
        ],
        [
          "φ",
          "φ"
        ],
        [
          "Euler's totient function",
          "Euler's totient function"
        ],
        [
          "coprime",
          "coprime"
        ]
      ],
      "raw_glosses": [
        "(group theory) A natural number n such that n and φ(n) (that is, Euler's totient function) are coprime."
      ],
      "topics": [
        "group-theory",
        "mathematics",
        "sciences"
      ]
    }
  ],
  "translations": [
    {
      "code": "fi",
      "lang": "Finnish",
      "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
      "word": "syklinen luku"
    },
    {
      "code": "de",
      "lang": "German",
      "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
      "tags": [
        "feminine"
      ],
      "word": "zyklische Zahl"
    },
    {
      "code": "pl",
      "lang": "Polish",
      "sense": "integer for which cyclic permutations of the digits are successive integer multiples of the number",
      "tags": [
        "feminine"
      ],
      "word": "liczba kolista"
    }
  ],
  "word": "cyclic number"
}