Zuckerman Numbers

There are 192 Zuckerman numbers that are less than 100,000. 24 of these 192 Zuckerman numbers had nBABs when this collection was created. {OEIS.org::A007602 Zuckerman Numbers are divisible by the product of their digits.}

              1,     2,     3,     4,     5,     6,     7,
       8,     9,    11,    12,    15,    24,    36,   111,
     112,   115,   128,   132,   135,   144,   175,   212,
     216,   224,   312,   315,   384,   432,   612,   624,
     672,   735,   816,  1111,  1112,  1113,  1115,  1116,
    1131,  1176,  1184,  1197,  1212,  1296,  1311,  1332,
    1344,  1416,  1575,  1715,  2112,  2144,  2232,  2916,
    3111,  3132,  3168,  3171,  3276,  3312,  3915,  4112,
    4224,  4416,  6144,  6624,  6912,  7112,  7119,  8112,
    8832,  9315,  9612, 11111, 11112, 11115, 11133, 11172,
   11212, 11232, 11313, 11328, 11331, 11424, 11664, 11711,
   11872, 12112, 12128, 12132, 12216, 12224, 12288, 12312,
   12432, 12712, 12768, 13113, 13131, 13212, 13248, 13272,
   13311, 13824, 13932, 14112, 14144, 16128, 16224, 16416,
   16632, 17115, 17136, 18112, 18432, 18816, 19116, 21112,
   21132, 21184, 21216, 21248, 21312, 21672, 21728, 22112,
   22144, 22176, 23112, 23328, 23424, 24112, 24192, 24912,
   26112, 26136, 26712, 27132, 27216, 28416, 31113, 31131,
   31212, 31311, 31488, 32112, 32172, 32616, 32832, 33111,
   33264, 34272, 34992, 35175, 37212, 38112, 41112, 41232,
   41616, 42112, 42192, 42336, 42432, 42624, 42912, 43632,
   48128, 51975, 61344, 61824, 62112, 64128, 66312, 71232,
   71316, 72128, 73332, 77175, 77616, 81216, 81312, 82112,
   82944, 83232, 86112, 89712, 91728, 92232, 93312, 93744,

MathBabbler wrote a C++ program to print all Zuckerman numbers between 0 and 99,999.

Numbers Larger Than 100,000
111111

Creator: Gerald Thurman [gthurman@gmail.com]
Created: 01 August 2009
+ added 111 on 17 November 2009
+ added 132 on 11 December 2009
+ added 432 on 20 May 2010
+ added 224 on 17 September 2011
+ added 1197 on 08 April 2014
+ added 4224 on 08 April 2014
+ added 13131 on 16 April 2014
+ added 1296 on 26 February 2015
+ added 21184 on 04 April 2015
+ added 175 on 02 May 2015
+ added 312 on 18 April 2016
+ added 315 on 18 April 2016
+ added 384 on 02 January 2017
+ added 8112 on 16 August 2017
+ added 111111 on 05 November 2018

This work is licensed under a Creative Commons License
Creative Commons Attribution 3.0 United States License.