Problem 47458. Perfect number

Created by Soobok

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{"parts":[{"partUri":"/matlab/document.xml","contentType":"application/vnd.mathworks.matlab.code.document+xml","content":"<?xml version=\"1.0\" encoding=\"UTF-8\"?><w:document xmlns:w=\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\"><w:body><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>For example, 6 and 28 are elements of perfect number set.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>6=1+2+3,\n</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"true\"/></w:customXmlPr><w:r><w:t>28=1+2+4+7+14.</w:t></w:r></w:customXml></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>Please check if input number </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>x</w:t></w:r><w:r><w:t> is a perfect number or not. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t>If the number is perfect number, then </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>y</w:t></w:r><w:r><w:t> is true. For all other cases, </w:t></w:r><w:r><w:rPr><w:b/></w:rPr><w:t>y</w:t></w:r><w:r><w:t> is false.</w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:r><w:t></w:t></w:r></w:p></w:body></w:document>","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.44px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: none solid rgb(0, 0, 0); white-space: normal; "><div style="block-size: 198.667px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 406.5px 99.3333px; transform-origin: 406.5px 99.3333px; vertical-align: baseline; "><div style="block-size: 20.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">A perfect number is a positive integer that is equal to the sum of its positive divisors, excluding the number itself.</span></span></div><div style="block-size: 20.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">For example, 6 and 28 are elements of perfect number set.</span></span></div><div style="block-size: 20.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="89.5" height="17.5" style="width: 89.5px; height: 17.5px;"></span></div><div style="block-size: 20.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="vertical-align:-5px"><img src="data:image/png;base64,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" width="153" height="17.5" style="width: 153px; height: 17.5px;"></span></div><div style="block-size: 20.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">Please check if input number </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="font-weight: 700; ">x</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> is a perfect number or not. </span></span></div><div style="block-size: 20.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="">If the number is perfect number, then </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="font-weight: 700; ">y</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> is true. For all other cases, </span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style="font-weight: 700; ">y</span></span><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""> is false.</span></span></div><div style="block-size: 20.6667px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 383.5px 10.3333px; text-align: left; transform-origin: 383.5px 10.3333px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 0px 0px; transform-origin: 0px 0px; "><span style=""></span></span></div></div></div>

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Problem 47458. Perfect number

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Problem 47458. Perfect number

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