Form the biggest squaring number

The name of the pictureThe name of the pictureThe name of the pictureClash Royale CLAN TAG#URR8PPP











up vote
3
down vote

favorite












You are going to start from any number with distinct digits lower than four digits (such as $a$, $ab$, $abc$) and you will apply the rule below:



  • Take the square any number you want in the number (you may take the square the number itself too). (such as $1(02)$ -> $14$, or $12(3)$ -> $129$ or $(13)$ -> $169$)

  • Every number you found has to have distinct digits. (Fail example: $(12)3$-> $1443$ X)

  • You may apply this as many times as you want. ($(13)$ -> $169$ then $1(69)$->$14761$)


What is the biggest final number you can have?







mathematics logical-deduction







share|improve this question



















  • 1




    Biggest final number? or biggest starting number?
    – SteveV
    50 mins ago










  • is there a restriction about how many digits the number which we square can have? like, if I get a number like 1023 as an interim result (even though 1023 itself is not possible), am I allowed to square it all to get to 1046529?
    – elias
    12 mins ago










  • @elias "you may take the square the number itself too". written on the first rule. no restriction.
    – Oray
    11 mins ago














up vote
3
down vote

favorite












You are going to start from any number with distinct digits lower than four digits (such as $a$, $ab$, $abc$) and you will apply the rule below:



  • Take the square any number you want in the number (you may take the square the number itself too). (such as $1(02)$ -> $14$, or $12(3)$ -> $129$ or $(13)$ -> $169$)

  • Every number you found has to have distinct digits. (Fail example: $(12)3$-> $1443$ X)

  • You may apply this as many times as you want. ($(13)$ -> $169$ then $1(69)$->$14761$)


What is the biggest final number you can have?







mathematics logical-deduction







share|improve this question



















  • 1




    Biggest final number? or biggest starting number?
    – SteveV
    50 mins ago










  • is there a restriction about how many digits the number which we square can have? like, if I get a number like 1023 as an interim result (even though 1023 itself is not possible), am I allowed to square it all to get to 1046529?
    – elias
    12 mins ago










  • @elias "you may take the square the number itself too". written on the first rule. no restriction.
    – Oray
    11 mins ago












up vote
3
down vote

favorite









up vote
3
down vote

favorite











You are going to start from any number with distinct digits lower than four digits (such as $a$, $ab$, $abc$) and you will apply the rule below:



  • Take the square any number you want in the number (you may take the square the number itself too). (such as $1(02)$ -> $14$, or $12(3)$ -> $129$ or $(13)$ -> $169$)

  • Every number you found has to have distinct digits. (Fail example: $(12)3$-> $1443$ X)

  • You may apply this as many times as you want. ($(13)$ -> $169$ then $1(69)$->$14761$)


What is the biggest final number you can have?







mathematics logical-deduction







share|improve this question















You are going to start from any number with distinct digits lower than four digits (such as $a$, $ab$, $abc$) and you will apply the rule below:



  • Take the square any number you want in the number (you may take the square the number itself too). (such as $1(02)$ -> $14$, or $12(3)$ -> $129$ or $(13)$ -> $169$)

  • Every number you found has to have distinct digits. (Fail example: $(12)3$-> $1443$ X)

  • You may apply this as many times as you want. ($(13)$ -> $169$ then $1(69)$->$14761$)


What is the biggest final number you can have?







mathematics logical-deduction




mathematics logical-deduction






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 50 mins ago

























asked 1 hour ago









Oray

14.3k435140




14.3k435140







  • 1




    Biggest final number? or biggest starting number?
    – SteveV
    50 mins ago










  • is there a restriction about how many digits the number which we square can have? like, if I get a number like 1023 as an interim result (even though 1023 itself is not possible), am I allowed to square it all to get to 1046529?
    – elias
    12 mins ago










  • @elias "you may take the square the number itself too". written on the first rule. no restriction.
    – Oray
    11 mins ago












  • 1




    Biggest final number? or biggest starting number?
    – SteveV
    50 mins ago










  • is there a restriction about how many digits the number which we square can have? like, if I get a number like 1023 as an interim result (even though 1023 itself is not possible), am I allowed to square it all to get to 1046529?
    – elias
    12 mins ago










  • @elias "you may take the square the number itself too". written on the first rule. no restriction.
    – Oray
    11 mins ago







1




1




Biggest final number? or biggest starting number?
– SteveV
50 mins ago




Biggest final number? or biggest starting number?
– SteveV
50 mins ago












is there a restriction about how many digits the number which we square can have? like, if I get a number like 1023 as an interim result (even though 1023 itself is not possible), am I allowed to square it all to get to 1046529?
– elias
12 mins ago




is there a restriction about how many digits the number which we square can have? like, if I get a number like 1023 as an interim result (even though 1023 itself is not possible), am I allowed to square it all to get to 1046529?
– elias
12 mins ago












@elias "you may take the square the number itself too". written on the first rule. no restriction.
– Oray
11 mins ago




@elias "you may take the square the number itself too". written on the first rule. no restriction.
– Oray
11 mins ago










1 Answer
1






active

oldest

votes

















up vote
4
down vote













Not proven to be maximal at all, but I managed to reach




10 digits with 4817093625




The steps are:




(705) -> 4(9)7025 -> 48170(25) -> 48170(6)25 -> 48170(3)625 -> 481709(6)25 -> 4817093625







share|improve this answer




















    Your Answer




    StackExchange.ifUsing("editor", function ()
    return StackExchange.using("mathjaxEditing", function ()
    StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix)
    StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
    );
    );
    , "mathjax-editing");

    StackExchange.ready(function()
    var channelOptions =
    tags: "".split(" "),
    id: "559"
    ;
    initTagRenderer("".split(" "), "".split(" "), channelOptions);

    StackExchange.using("externalEditor", function()
    // Have to fire editor after snippets, if snippets enabled
    if (StackExchange.settings.snippets.snippetsEnabled)
    StackExchange.using("snippets", function()
    createEditor();
    );

    else
    createEditor();

    );

    function createEditor()
    StackExchange.prepareEditor(
    heartbeatType: 'answer',
    convertImagesToLinks: false,
    noModals: false,
    showLowRepImageUploadWarning: true,
    reputationToPostImages: null,
    bindNavPrevention: true,
    postfix: "",
    noCode: true, onDemand: true,
    discardSelector: ".discard-answer"
    ,immediatelyShowMarkdownHelp:true
    );



    );













     

    draft saved


    draft discarded


















    StackExchange.ready(
    function ()
    StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f72353%2fform-the-biggest-squaring-number%23new-answer', 'question_page');

    );

    Post as a guest

















    1 Answer
    1






    active

    oldest

    votes








    1 Answer
    1






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes








    up vote
    4
    down vote













    Not proven to be maximal at all, but I managed to reach




    10 digits with 4817093625




    The steps are:




    (705) -> 4(9)7025 -> 48170(25) -> 48170(6)25 -> 48170(3)625 -> 481709(6)25 -> 4817093625







    share|improve this answer
























      up vote
      4
      down vote













      Not proven to be maximal at all, but I managed to reach




      10 digits with 4817093625




      The steps are:




      (705) -> 4(9)7025 -> 48170(25) -> 48170(6)25 -> 48170(3)625 -> 481709(6)25 -> 4817093625







      share|improve this answer






















        up vote
        4
        down vote










        up vote
        4
        down vote









        Not proven to be maximal at all, but I managed to reach




        10 digits with 4817093625




        The steps are:




        (705) -> 4(9)7025 -> 48170(25) -> 48170(6)25 -> 48170(3)625 -> 481709(6)25 -> 4817093625







        share|improve this answer












        Not proven to be maximal at all, but I managed to reach




        10 digits with 4817093625




        The steps are:




        (705) -> 4(9)7025 -> 48170(25) -> 48170(6)25 -> 48170(3)625 -> 481709(6)25 -> 4817093625








        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 27 mins ago









        elias

        7,63232051




        7,63232051



























             

            draft saved


            draft discarded















































             


            draft saved


            draft discarded














            StackExchange.ready(
            function ()
            StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fpuzzling.stackexchange.com%2fquestions%2f72353%2fform-the-biggest-squaring-number%23new-answer', 'question_page');

            );

            Post as a guest
































































            Comments

            Post a Comment

            Popular posts from this blog

            What does second last employer means? [closed]

            Image
            Clash Royale CLAN TAG #URR8PPP .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty margin-bottom:0; up vote -3 down vote favorite Say, for example I have worked in the following companies, Company A => 2010 - 2011 Company B => 2011 - 2012 Company C => 2012 - Till Date Company D => Have offer Now assume Company D is asking to submit documents from my second last employer. So from the list of companies given, which company would be qualified as second last employer? software-industry employer share | improve this question asked Aug 10 '14 at 5:16 Rajaprabhu Aravindasamy 559 1 6 13 closed as off-topic by Jim G., jmort253 ♦ Aug 11 '14 at 1:58 This question appears to be off-topic. The users who voted to close gave this specific reason: "Questions seeking advice on company-specific regulations, agreements, or policies should be directed to your manager or HR department. Questions that address...
            Read more

            Installing NextGIS Connect into QGIS 3?

            Image
            Clash Royale CLAN TAG #URR8PPP .everyoneloves__top-leaderboard:empty,.everyoneloves__mid-leaderboard:empty margin-bottom:0; up vote 1 down vote favorite Just acquired free version of NEXTGIS and trying to install the plugin for QGIS. It tells me it was not designed for version 3 of QGIS. How do I set up the QGIS-NEXTGIS interface then? qgis qgis-plugins nextgis share | improve this question edited 3 hours ago PolyGeo ♦ 51.9k 17 77 233 asked 4 hours ago IanGS 16 4 New contributor IanGS is a new contributor to this site. Take care in asking for clarification, commenting, and answering. Check out our Code of Conduct. add a comment  |  up vote 1 down vote favorite Just acquired free version of NEXTGIS and trying to install the plugin for QGIS. It tells me it was not designed for version 3 of QGIS. How do I set up the QGIS-NEXTGIS interface then? qgis qgis-plugin...
            Read more

            One-line joke

            A one-liner is a joke that is delivered in a single line. A good one-liner is said to be pithy - concise and meaningful. [1] Comedians and actors use this comedic method as part of their act, e.g. Jimmy Carr, Tommy Cooper, Rodney Dangerfield, Norm Macdonald, Ken Dodd, Stewart Francis, Zach Galifianakis, Mitch Hedberg, Anthony Jeselnik, Milton Jones, Shappi Khorsandi, Jay London, Mark Linn-Baker, Demetri Martin, Groucho Marx, Dan Mintz, Emo Philips, Tim Vine, Steven Wright and Henny Youngman and Arnold Schwarzenegger. [ citation needed ] Many fictional characters are also known to deliver one-liners, including James Bond, who usually includes pithy and laconic quips after disposing of a villain. [ citation needed ] Examples "A baby seal walks into a club." "A dyslexic man walks into a bra." (Anonymous) "There are three types of people, those who can count and those who can't." "Venison's dear, isn't it?" (Jimmy Carr) "An escala...
            Read more