{"group":{"id":1,"name":"Community","lockable":false,"created_at":"2012-01-18T18:02:15.000Z","updated_at":"2026-06-25T00:23:38.000Z","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":"2026-06-25T00:00:00.000Z","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":55040,"title":"B-Zuckerman Numbers","description":"Similar to my last problem (B_Harshad Numbers), B-Zuckerman Numbers are numbers that are divisable by the product of their digits when the numbers are written in base-B. Find and output all the B-Zuckerman numbers from an input listing of decimal numbers for a given base-B.","description_html":"\u003cdiv 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; \"\u003e\u003cdiv style=\"block-size: 63px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 31.5px; transform-origin: 407px 31.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSimilar to my last problem (B_Harshad Numbers), B-Zuckerman Numbers are numbers that are divisable by the product of their digits when the numbers are written in base-B. Find and output all the B-Zuckerman numbers from an input listing of decimal numbers for a given base-B.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function z = b_zuckerman(N,b)\r\n  z=N;\r\nend","test_suite":"%%\r\nassert(isequal(b_zuckerman(1:20,3),[1 2 4 8 13 14 16]));\r\n%%\r\nassert(isequal(b_zuckerman(20:50,11),[24 36 48]));\r\n%%\r\nN=200:1000;\r\nk=4:32;\r\nfor kk=1:length(k)\r\n    h{kk}=b_zuckerman(N,k(kk));\r\nend\r\nassert(isequal(h{7},[212 216 224 312 315 384 432 612 624 672 735 816]));\r\nassert(isequal(h{29},363));\r\nassert(isequal(length(h{19}),20));\r\nassert(isequal(sum(arrayfun(@(x)sum(h{x}),1:29)),308445));\r\nassert(isequal(h{10}(10),352));\r\n%%\r\nN=1e6:1e7;\r\nk=[103 967 937 419 743];\r\nfor kk=1:length(k)\r\n    h{kk}=b_zuckerman(N,k(kk));\r\n    l(kk)=length(h{kk});\r\n    s(kk)=sum(h{kk});\r\nend\r\nassert(isequal(l,[314 146 161 162 162]));\r\nassert(isequal(s,[1149091578,525128798,687030954,632491399,585599335]));\r\nassert(isequal(h{1}(10),1104264));\r\nassert(isequal(h{2}(11),1200120));\r\nassert(isequal(h{3}(12),1344600));\r\nassert(isequal(h{4}(13),1233540));\r\nassert(isequal(h{5}(14),1116730));\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":145982,"edited_by":145982,"edited_at":"2022-07-13T20:18:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-07-13T20:18:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-07-12T22:08:50.000Z","updated_at":"2026-06-01T22:55:37.000Z","published_at":"2022-07-12T22:08:50.000Z","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\u003eSimilar to my last problem (B_Harshad Numbers), B-Zuckerman Numbers are numbers that are divisable by the product of their digits when the numbers are written in base-B. Find and output all the B-Zuckerman numbers from an input listing of decimal numbers for a given base-B.\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":{"problems":[{"id":55040,"title":"B-Zuckerman Numbers","description":"Similar to my last problem (B_Harshad Numbers), B-Zuckerman Numbers are numbers that are divisable by the product of their digits when the numbers are written in base-B. Find and output all the B-Zuckerman numbers from an input listing of decimal numbers for a given base-B.","description_html":"\u003cdiv 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; \"\u003e\u003cdiv style=\"block-size: 63px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 31.5px; transform-origin: 407px 31.5px; vertical-align: baseline; \"\u003e\u003cdiv style=\"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: 0px 0px; transform-origin: 0px 0px; \"\u003e\u003cspan style=\"\"\u003eSimilar to my last problem (B_Harshad Numbers), B-Zuckerman Numbers are numbers that are divisable by the product of their digits when the numbers are written in base-B. Find and output all the B-Zuckerman numbers from an input listing of decimal numbers for a given base-B.\u003c/span\u003e\u003c/span\u003e\u003c/div\u003e\u003c/div\u003e\u003c/div\u003e","function_template":"function z = b_zuckerman(N,b)\r\n  z=N;\r\nend","test_suite":"%%\r\nassert(isequal(b_zuckerman(1:20,3),[1 2 4 8 13 14 16]));\r\n%%\r\nassert(isequal(b_zuckerman(20:50,11),[24 36 48]));\r\n%%\r\nN=200:1000;\r\nk=4:32;\r\nfor kk=1:length(k)\r\n    h{kk}=b_zuckerman(N,k(kk));\r\nend\r\nassert(isequal(h{7},[212 216 224 312 315 384 432 612 624 672 735 816]));\r\nassert(isequal(h{29},363));\r\nassert(isequal(length(h{19}),20));\r\nassert(isequal(sum(arrayfun(@(x)sum(h{x}),1:29)),308445));\r\nassert(isequal(h{10}(10),352));\r\n%%\r\nN=1e6:1e7;\r\nk=[103 967 937 419 743];\r\nfor kk=1:length(k)\r\n    h{kk}=b_zuckerman(N,k(kk));\r\n    l(kk)=length(h{kk});\r\n    s(kk)=sum(h{kk});\r\nend\r\nassert(isequal(l,[314 146 161 162 162]));\r\nassert(isequal(s,[1149091578,525128798,687030954,632491399,585599335]));\r\nassert(isequal(h{1}(10),1104264));\r\nassert(isequal(h{2}(11),1200120));\r\nassert(isequal(h{3}(12),1344600));\r\nassert(isequal(h{4}(13),1233540));\r\nassert(isequal(h{5}(14),1116730));\r\n\r\n","published":true,"deleted":false,"likes_count":0,"comments_count":2,"created_by":145982,"edited_by":145982,"edited_at":"2022-07-13T20:18:33.000Z","deleted_by":null,"deleted_at":null,"solvers_count":4,"test_suite_updated_at":"2022-07-13T20:18:33.000Z","rescore_all_solutions":false,"group_id":1,"created_at":"2022-07-12T22:08:50.000Z","updated_at":"2026-06-01T22:55:37.000Z","published_at":"2022-07-12T22:08:50.000Z","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\u003eSimilar to my last problem (B_Harshad Numbers), B-Zuckerman Numbers are numbers that are divisable by the product of their digits when the numbers are written in base-B. Find and output all the B-Zuckerman numbers from an input listing of decimal numbers for a given base-B.\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\"}]}"}],"errors":[],"facets":[[],[{"value":"medium","count":1,"selected":false}]],"term":"tag:\"zuckerman number\"","page":1,"per_page":50,"sort":"map(difficulty_value,0,0,999) asc"}}