{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-04-06T14:01:22.000Z","description":"Problems submitted by members of the MATLAB Central community.","is_default":true,"created_by":161519,"badge_id":null,"featured":false,"trending":false,"solution_count_in_trending_period":0,"trending_last_calculated":"2026-04-06T00:00:00.000Z","image_id":null,"published":true,"community_created":false,"status_id":2,"is_default_group_for_player":false,"deleted_by":null,"deleted_at":null,"restored_by":null,"restored_at":null,"description_opc":null,"description_html":null,"published_at":null},"problems":[{"id":44230,"title":"I'm going to enjoy watching you calculate, Mr Anderson","description":"Smith numbers are numbers such that if you add up all of the digits in the number, that sum equals the sum of all of the digits in all of their factors. This term was coined by Albert Wilansky, when he noticed the defining property in the phone number of his brother-in-law Harold Smith: 493-7775.\r\n4+9+3+7+7+7+5=42\r\nThe prime factors of 4937775 are 3, 5, 5, and 65837. 3+5+5+(6+5+8+3+7) = 42\r\nSince all prime numbers obviously meet this criteria, Smith numbers are defined as composite numbers. Write a MATLAB function that will tell you if a given number is a Smith number.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; 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: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 174px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 87px; transform-origin: 407px 87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; 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: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan 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: 375.5px 8px; transform-origin: 375.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSmith numbers are numbers such that if you add up all of the digits in the number, that sum equals the sum of all of the digits in all of their factors. This term was coined by Albert Wilansky, when he noticed the defining property in the phone number of his brother-in-law Harold Smith: 493-7775.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan 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: 64px 8px; transform-origin: 64px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e4+9+3+7+7+7+5=42\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan 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: 251px 8px; transform-origin: 251px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe prime factors of 4937775 are 3, 5, 5, and 65837. 3+5+5+(6+5+8+3+7) = 42\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan 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: 380.5px 8px; transform-origin: 380.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSince all prime numbers obviously meet this criteria, Smith numbers are defined as composite numbers. Write a MATLAB function that will tell you if a given number is a Smith number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = smith(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(smith(4937775),1))\r\n%%\r\nassert(isequal(smith(1164),0))\r\n%%\r\nassert(isequal(smith(19683),1))\r\n%%\r\nassert(isequal(smith(11),0))  % Remember - Smith numbers are composite\r\n%%\r\nassert(isequal(smith(11^2),1))\r\n%%\r\nassert(isequal(smith(345741),1))\r\n%%\r\nassert(isequal(smith(19876),0))\r\n%%\r\nassert(isequal(smith(314159),0))\r\n%%\r\nassert(isequal(smith(612985),1))\r\n%%\r\nassert(isequal(smith(12379887),1))\r\n%%\r\nassert(isequal(smith(23456789),0))\r\n%%\r\nassert(isequal(smith(13),0))\r\n%%\r\nassert(isequal(smith(23),0))\r\n%%\r\ny=primes(randi(1e5));\r\nassert(isequal(smith(y(end)),0))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":1615,"edited_by":223089,"edited_at":"2023-01-07T08:26:27.000Z","deleted_by":null,"deleted_at":null,"solvers_count":49,"test_suite_updated_at":"2023-01-07T08:26:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2017-06-01T19:16:25.000Z","updated_at":"2026-03-16T15:29:16.000Z","published_at":"2017-06-01T19:16:25.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSmith numbers are numbers such that if you add up all of the digits in the number, that sum equals the sum of all of the digits in all of their factors. This term was coined by Albert Wilansky, when he noticed the defining property in the phone number of his brother-in-law Harold Smith: 493-7775.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4+9+3+7+7+7+5=42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe prime factors of 4937775 are 3, 5, 5, and 65837. 3+5+5+(6+5+8+3+7) = 42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince all prime numbers obviously meet this criteria, Smith numbers are defined as composite numbers. Write a MATLAB function that will tell you if a given number is a Smith number.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003c/w:body\u003e\u003c/w:document\u003e\",\"relationship\":null}],\"relationships\":[{\"relationshipType\":\"http://schemas.mathworks.com/matlab/code/2013/relationships/document\",\"target\":\"/matlab/document.xml\",\"relationshipId\":\"rId1\"}]}"}],"problem_search":{"errors":[],"problems":[{"id":44230,"title":"I'm going to enjoy watching you calculate, Mr Anderson","description":"Smith numbers are numbers such that if you add up all of the digits in the number, that sum equals the sum of all of the digits in all of their factors. This term was coined by Albert Wilansky, when he noticed the defining property in the phone number of his brother-in-law Harold Smith: 493-7775.\r\n4+9+3+7+7+7+5=42\r\nThe prime factors of 4937775 are 3, 5, 5, and 65837. 3+5+5+(6+5+8+3+7) = 42\r\nSince all prime numbers obviously meet this criteria, Smith numbers are defined as composite numbers. Write a MATLAB function that will tell you if a given number is a Smith number.","description_html":"\u003cdiv style = \"text-align: start; line-height: 20.4333px; 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: rgb(0, 0, 0); white-space: normal; \"\u003e\u003cdiv style=\"block-size: 174px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 87px; transform-origin: 407px 87px; vertical-align: baseline; \"\u003e\u003cdiv style=\"block-size: 63px; 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: 384px 31.5px; text-align: left; transform-origin: 384px 31.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan 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: 375.5px 8px; transform-origin: 375.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSmith numbers are numbers such that if you add up all of the digits in the number, that sum equals the sum of all of the digits in all of their factors. This term was coined by Albert Wilansky, when he noticed the defining property in the phone number of his brother-in-law Harold Smith: 493-7775.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan 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: 64px 8px; transform-origin: 64px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003e4+9+3+7+7+7+5=42\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 21px; 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: 384px 10.5px; text-align: left; transform-origin: 384px 10.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan 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: 251px 8px; transform-origin: 251px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eThe prime factors of 4937775 are 3, 5, 5, and 65837. 3+5+5+(6+5+8+3+7) = 42\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003cdiv style=\"block-size: 42px; 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: 384px 21px; text-align: left; transform-origin: 384px 21px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; \"\u003e\u003cspan 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: 380.5px 8px; transform-origin: 380.5px 8px; unicode-bidi: normal; \"\u003e\u003cspan style=\"\"\u003eSince all prime numbers obviously meet this criteria, Smith numbers are defined as composite numbers. Write a MATLAB function that will tell you if a given number is a Smith number.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function y = smith(x)\r\n  y = x;\r\nend","test_suite":"%%\r\nassert(isequal(smith(4937775),1))\r\n%%\r\nassert(isequal(smith(1164),0))\r\n%%\r\nassert(isequal(smith(19683),1))\r\n%%\r\nassert(isequal(smith(11),0))  % Remember - Smith numbers are composite\r\n%%\r\nassert(isequal(smith(11^2),1))\r\n%%\r\nassert(isequal(smith(345741),1))\r\n%%\r\nassert(isequal(smith(19876),0))\r\n%%\r\nassert(isequal(smith(314159),0))\r\n%%\r\nassert(isequal(smith(612985),1))\r\n%%\r\nassert(isequal(smith(12379887),1))\r\n%%\r\nassert(isequal(smith(23456789),0))\r\n%%\r\nassert(isequal(smith(13),0))\r\n%%\r\nassert(isequal(smith(23),0))\r\n%%\r\ny=primes(randi(1e5));\r\nassert(isequal(smith(y(end)),0))\r\n","published":true,"deleted":false,"likes_count":2,"comments_count":1,"created_by":1615,"edited_by":223089,"edited_at":"2023-01-07T08:26:27.000Z","deleted_by":null,"deleted_at":null,"solvers_count":49,"test_suite_updated_at":"2023-01-07T08:26:27.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2017-06-01T19:16:25.000Z","updated_at":"2026-03-16T15:29:16.000Z","published_at":"2017-06-01T19:16:25.000Z","restored_at":null,"restored_by":null,"spam":null,"simulink":false,"admin_reviewed":false,"description_opc":"{\"parts\":[{\"partUri\":\"/matlab/document.xml\",\"contentType\":\"application/vnd.mathworks.matlab.code.document+xml\",\"content\":\"\u003c?xml version=\\\"1.0\\\" encoding=\\\"UTF-8\\\"?\u003e\u003cw:document xmlns:w=\\\"http://schemas.openxmlformats.org/wordprocessingml/2006/main\\\"\u003e\u003cw:body\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSmith numbers are numbers such that if you add up all of the digits in the number, that sum equals the sum of all of the digits in all of their factors. This term was coined by Albert Wilansky, when he noticed the defining property in the phone number of his brother-in-law Harold Smith: 493-7775.\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003e4+9+3+7+7+7+5=42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eThe prime factors of 4937775 are 3, 5, 5, and 65837. 3+5+5+(6+5+8+3+7) = 42\u003c/w:t\u003e\u003c/w:r\u003e\u003c/w:p\u003e\u003cw:p\u003e\u003cw:pPr\u003e\u003cw:pStyle w:val=\\\"text\\\"/\u003e\u003cw:jc w:val=\\\"left\\\"/\u003e\u003c/w:pPr\u003e\u003cw:r\u003e\u003cw:t\u003eSince all prime numbers obviously meet this criteria, Smith numbers are defined as composite numbers. 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