<?xml version="1.0" encoding="utf-8"?>
<xbrl
  xmlns="http://www.xbrl.org/2003/instance"
  xmlns:dei="http://xbrl.sec.gov/dei/2025"
  xmlns:ffd="http://xbrl.sec.gov/ffd/2025"
  xmlns:iso4217="http://www.xbrl.org/2003/iso4217"
  xmlns:link="http://www.xbrl.org/2003/linkbase"
  xmlns:xbrldi="http://xbrl.org/2006/xbrldi"
  xmlns:xlink="http://www.w3.org/1999/xlink"
  xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance">
    <link:schemaRef
      xlink:href="https://xbrl.sec.gov/ffd/2025/ffd-2025.xsd"
      xlink:type="simple"/>
    <context id="c_offering_1">
        <entity>
            <identifier scheme="http://www.sec.gov/CIK">0001796514</identifier>
            <segment>
                <xbrldi:typedMember dimension="ffd:OfferingAxis">
                    <dei:lineNo>1</dei:lineNo>
                </xbrldi:typedMember>
            </segment>
        </entity>
        <period>
            <startDate>2026-07-24</startDate>
            <endDate>2026-07-24</endDate>
        </period>
    </context>
    <context id="c_offering_2">
        <entity>
            <identifier scheme="http://www.sec.gov/CIK">0001796514</identifier>
            <segment>
                <xbrldi:typedMember dimension="ffd:OfferingAxis">
                    <dei:lineNo>2</dei:lineNo>
                </xbrldi:typedMember>
            </segment>
        </entity>
        <period>
            <startDate>2026-07-24</startDate>
            <endDate>2026-07-24</endDate>
        </period>
    </context>
    <context id="c_report">
        <entity>
            <identifier scheme="http://www.sec.gov/CIK">0001796514</identifier>
        </entity>
        <period>
            <startDate>2026-07-24</startDate>
            <endDate>2026-07-24</endDate>
        </period>
    </context>
    <unit id="USD">
        <measure>iso4217:USD</measure>
    </unit>
    <unit id="pure">
        <measure>pure</measure>
    </unit>
    <unit id="shares">
        <measure>shares</measure>
    </unit>
    <ffd:SubmissnTp contextRef="c_report" id="fee_001">F-1</ffd:SubmissnTp>
    <ffd:FeeExhibitTp contextRef="c_report" id="fee_002">EX-FILING FEES</ffd:FeeExhibitTp>
    <dei:EntityCentralIndexKey contextRef="c_report" id="fee_003">0001796514</dei:EntityCentralIndexKey>
    <ffd:OfferingTableNa contextRef="c_report" id="fee_004" xsi:nil="true"/>
    <ffd:OffsetTableNa contextRef="c_report" id="fee_005">N/A</ffd:OffsetTableNa>
    <ffd:CombinedProspectusTableNa contextRef="c_report" id="fee_006">N/A</ffd:CombinedProspectusTableNa>
    <ffd:FormTp contextRef="c_report" id="fee_007">F-1</ffd:FormTp>
    <dei:EntityRegistrantName contextRef="c_report" id="fee_008">BTC Digital Ltd.</dei:EntityRegistrantName>
    <ffd:PrevslyPdFlg contextRef="c_offering_1" id="fee_009">false</ffd:PrevslyPdFlg>
    <ffd:OfferingSctyTp contextRef="c_offering_1" id="fee_010">Equity</ffd:OfferingSctyTp>
    <ffd:OfferingSctyTitl contextRef="c_offering_1" id="fee_011">Ordinary Shares and Ordinary Shares issuable upon exercise of Pre-Funded Warrants, par value $0.06 per share</ffd:OfferingSctyTitl>
    <ffd:FeesOthrRuleFlg contextRef="c_offering_1" id="fee_012">true</ffd:FeesOthrRuleFlg>
    <ffd:AmtSctiesRegd
      contextRef="c_offering_1"
      decimals="0"
      id="fee_013"
      unitRef="shares">6140350</ffd:AmtSctiesRegd>
    <ffd:MaxOfferingPricPerScty
      contextRef="c_offering_1"
      decimals="INF"
      id="fee_014"
      unitRef="USD">0.5570</ffd:MaxOfferingPricPerScty>
    <ffd:MaxAggtOfferingPric
      contextRef="c_offering_1"
      decimals="INF"
      id="fee_015"
      unitRef="USD">3420174.95</ffd:MaxAggtOfferingPric>
    <ffd:FeeRate
      contextRef="c_offering_1"
      decimals="INF"
      id="fee_016"
      unitRef="pure">0.0001381</ffd:FeeRate>
    <ffd:FeeAmt
      contextRef="c_offering_1"
      decimals="INF"
      id="fee_017"
      unitRef="USD">472.33</ffd:FeeAmt>
    <ffd:PrevslyPdFlg contextRef="c_offering_2" id="fee_018">false</ffd:PrevslyPdFlg>
    <ffd:OfferingSctyTp contextRef="c_offering_2" id="fee_019">Equity</ffd:OfferingSctyTp>
    <ffd:OfferingSctyTitl contextRef="c_offering_2" id="fee_020">Ordinary Shares issuable upon exercise of Common Warrants, par value $0.06 per share</ffd:OfferingSctyTitl>
    <ffd:FeesOthrRuleFlg contextRef="c_offering_2" id="fee_021">true</ffd:FeesOthrRuleFlg>
    <ffd:AmtSctiesRegd
      contextRef="c_offering_2"
      decimals="0"
      id="fee_022"
      unitRef="shares">12280700</ffd:AmtSctiesRegd>
    <ffd:MaxOfferingPricPerScty
      contextRef="c_offering_2"
      decimals="INF"
      id="fee_023"
      unitRef="USD">1.71</ffd:MaxOfferingPricPerScty>
    <ffd:MaxAggtOfferingPric
      contextRef="c_offering_2"
      decimals="INF"
      id="fee_024"
      unitRef="USD">20999997.00</ffd:MaxAggtOfferingPric>
    <ffd:FeeRate
      contextRef="c_offering_2"
      decimals="INF"
      id="fee_025"
      unitRef="pure">0.0001381</ffd:FeeRate>
    <ffd:FeeAmt
      contextRef="c_offering_2"
      decimals="INF"
      id="fee_026"
      unitRef="USD">2900.10</ffd:FeeAmt>
    <ffd:TtlOfferingAmt
      contextRef="c_report"
      decimals="INF"
      id="fee_027"
      unitRef="USD">24420171.95</ffd:TtlOfferingAmt>
    <ffd:TtlFeeAmt
      contextRef="c_report"
      decimals="INF"
      id="fee_028"
      unitRef="USD">3372.43</ffd:TtlFeeAmt>
    <ffd:TtlPrevslyPdAmt
      contextRef="c_report"
      decimals="INF"
      id="fee_029"
      unitRef="USD">0.00</ffd:TtlPrevslyPdAmt>
    <ffd:TtlOffsetAmt
      contextRef="c_report"
      decimals="INF"
      id="fee_030"
      unitRef="USD">0.00</ffd:TtlOffsetAmt>
    <ffd:NetFeeAmt
      contextRef="c_report"
      decimals="INF"
      id="fee_031"
      unitRef="USD">3372.43</ffd:NetFeeAmt>
    <ffd:OfferingNote contextRef="c_offering_1" id="fee_032">Represents 18,421,050 Ordinary Shares, par value $0.06 per share, registered for resale, consisting of 5,175,437 issued Ordinary Shares, 964,913 Ordinary Shares issuable upon exercise of Pre-Funded Warrants, and 12,280,700 Ordinary Shares issuable upon exercise of Common Warrants.&lt;br/&gt;&lt;br/&gt;Estimated solely for the purpose of calculating the registration fee pursuant to Rule 457(c) under the Securities Act of 1933, as amended, based on $0.557 per share, the average of the high and low prices of the Ordinary Shares on The Nasdaq Stock Market LLC on July 28, 2026. The proposed maximum aggregate offering price for the 5,175,437 issued Ordinary Shares and the 964,913 Ordinary Shares issuable upon exercise of Pre-Funded Warrants is $3,420,174.95.&lt;br/&gt;&lt;br/&gt;The registration fee is calculated at the fiscal year 2026 rate of $138.10 per $1,000,000 of the proposed maximum aggregate offering price, or 0.00013810.</ffd:OfferingNote>
    <ffd:OfferingNote contextRef="c_offering_2" id="fee_033">Represents 18,421,050 Ordinary Shares, par value $0.06 per share, registered for resale, consisting of 5,175,437 issued Ordinary Shares, 964,913 Ordinary Shares issuable upon exercise of Pre-Funded Warrants, and 12,280,700 Ordinary Shares issuable upon exercise of Common Warrants.&lt;br/&gt;&lt;br/&gt;Calculated pursuant to Rule 457(g) under the Securities Act of 1933, as amended, based on the Common Warrant exercise price of $1.71 per share. The proposed maximum aggregate offering price for the 12,280,700 Ordinary Shares issuable upon exercise of Common Warrants is $20,999,997.00.&lt;br/&gt;&lt;br/&gt;The registration fee is calculated at the fiscal year 2026 rate of $138.10 per $1,000,000 of the proposed maximum aggregate offering price, or 0.00013810.</ffd:OfferingNote>
</xbrl>
