<?xml version="1.0" encoding="UTF-8"?><edgarSubmission xmlns="http://www.sec.gov/edgar/schedule13g" xmlns:com="http://www.sec.gov/edgar/common">
  <schemaVersion>X0202</schemaVersion>
<headerData>
    <submissionType>SCHEDULE 13G</submissionType>
    <filerInfo>
      <filer>
        <filerCredentials>
          <cik>0001519462</cik>
          <ccc>XXXXXXXX</ccc>
        </filerCredentials>
      </filer>
      <liveTestFlag>LIVE</liveTestFlag>



    </filerInfo>
  </headerData>
  <formData>
    <coverPageHeader>
      <securitiesClassTitle>COMMON STOCK</securitiesClassTitle>
      <eventDateRequiresFilingThisStatement>03/24/2026</eventDateRequiresFilingThisStatement>
      <issuerInfo>
        <issuerCik>0001464521</issuerCik>
        <issuerName>Heartflow, Inc.</issuerName>
        <issuerCusips>
          <issuerCusipNumber>42238D107</issuerCusipNumber>
        </issuerCusips>
        <issuerPrincipalExecutiveOfficeAddress>
          <com:street1>331 E EVELYN AVENUE</com:street1>
          <com:city>MOUNTAIN VIEW</com:city>
          <com:stateOrCountry>CA</com:stateOrCountry>
          <com:zipCode>94041</com:zipCode>
        </issuerPrincipalExecutiveOfficeAddress>
      </issuerInfo>
      <designateRulesPursuantThisScheduleFiled>
        <designateRulePursuantThisScheduleFiled>Rule 13d-1(b)</designateRulePursuantThisScheduleFiled>
      </designateRulesPursuantThisScheduleFiled>
    </coverPageHeader>
    <coverPageHeaderReportingPersonDetails>

      <reportingPersonName>HealthCor Partners Management LP</reportingPersonName>
      <citizenshipOrOrganization>DE</citizenshipOrOrganization>
      <reportingPersonBeneficiallyOwnedNumberOfShares>
        <soleVotingPower>0.00</soleVotingPower>
        <sharedVotingPower>2082014.00</sharedVotingPower>
        <soleDispositivePower>0.00</soleDispositivePower>
        <sharedDispositivePower>2082014.00</sharedDispositivePower>
      </reportingPersonBeneficiallyOwnedNumberOfShares>
      <reportingPersonBeneficiallyOwnedAggregateNumberOfShares>2082014.00</reportingPersonBeneficiallyOwnedAggregateNumberOfShares>
      <classPercent>2.4</classPercent>
      <typeOfReportingPerson>IA</typeOfReportingPerson>
    </coverPageHeaderReportingPersonDetails>
    <coverPageHeaderReportingPersonDetails>

      <reportingPersonName>HealthCor Partners Fund LP</reportingPersonName>
      <citizenshipOrOrganization>DE</citizenshipOrOrganization>
      <reportingPersonBeneficiallyOwnedNumberOfShares>
        <soleVotingPower>0.00</soleVotingPower>
        <sharedVotingPower>1248939.00</sharedVotingPower>
        <soleDispositivePower>0.00</soleDispositivePower>
        <sharedDispositivePower>1248939.00</sharedDispositivePower>
      </reportingPersonBeneficiallyOwnedNumberOfShares>
      <reportingPersonBeneficiallyOwnedAggregateNumberOfShares>1248939.00</reportingPersonBeneficiallyOwnedAggregateNumberOfShares>
      <classPercent>1.5</classPercent>
      <typeOfReportingPerson>OO</typeOfReportingPerson>
      <comments>PRIVATE FUND MANAGED BY HEALTHCOR PARTNERS MANAGEMENT, LP</comments>
    </coverPageHeaderReportingPersonDetails>
    <coverPageHeaderReportingPersonDetails>

      <reportingPersonName>HealthCor Partners Fund II, L.P.</reportingPersonName>
      <citizenshipOrOrganization>DE</citizenshipOrOrganization>
      <reportingPersonBeneficiallyOwnedNumberOfShares>
        <soleVotingPower>0.00</soleVotingPower>
        <sharedVotingPower>833075.00</sharedVotingPower>
        <soleDispositivePower>0.00</soleDispositivePower>
        <sharedDispositivePower>833075.00</sharedDispositivePower>
      </reportingPersonBeneficiallyOwnedNumberOfShares>
      <reportingPersonBeneficiallyOwnedAggregateNumberOfShares>833075.00</reportingPersonBeneficiallyOwnedAggregateNumberOfShares>
      <classPercent>1.0</classPercent>
      <typeOfReportingPerson>OO</typeOfReportingPerson>
      <comments>PRIVATE FUND MANAGED BY HEALTHCOR PARTNERS MANAGEMENT LP</comments>
    </coverPageHeaderReportingPersonDetails>
    <items>
      <item1>
        <issuerName>Heartflow, Inc.</issuerName>
        <issuerPrincipalExecutiveOfficeAddress>331 E EVELYN AVENUE, MOUNTAIN VIEW, CALIFORNIA, 94041</issuerPrincipalExecutiveOfficeAddress>
      </item1>
      <item2>
        <filingPersonName>HEALTHCOR PARTNERS MANAGEMENT, LP
HEALTHCOR PARTNERS FUND, L.P.
HEALTHCOR PARNERS FUND II, L.P.
</filingPersonName>
        <principalBusinessOfficeOrResidenceAddress>C/O HEALTHCOR PARTNERS MANAGEMENT, L.P.
186 SEVEN FARMS DRIVE, SUITE F-371
DANIEL ISLAND, SOUTH CAROLINA 29492</principalBusinessOfficeOrResidenceAddress>
        <citizenship>HEALTHCOR PARTNERS MANAGEMENT, LP - DELAWARE
HEALTHCOR PARTNERS FUND, L.P. - DELAWARE
HEALTHCOR PARNERS FUND II, L.P. - DELAWARE</citizenship>
      </item2>
      <item3>
        <notApplicableFlag>N</notApplicableFlag>
        <typeOfPersonFiling>IA</typeOfPersonFiling>
      </item3>
      <item4>
        <amountBeneficiallyOwned>HEALTHCOR PARTNERS MANAGEMENT, LP - 2,082,014 (BENEFICIALLY OWNED DUE TO MANAGING THE TWO FUNDS BELOW.)
HEALTHCOR PARTNERS FUND, L.P. - 1,248,939 SHARES
HEALTHCOR PARNERS FUND II, L.P. - 833,075 SHARES
PRIOR TO THE DISTRIBUTION OF HCPCIV 1, LLC DISTRIBUTION OF THE FUND'S 4,615,542 SHARES, HEALTHCOR PARTNERS MANAGMENET, LP HELD 6,697,556 SHARES.</amountBeneficiallyOwned>
        <classPercent>HEALTHCOR PARTNERS MANAGEMENT, LP - 2.4%
HEALTHCOR PARTNERS FUND, L.P. - 1.5%
HEALTHCOR PARNERS FUND II, L.P. - 1%
PRIOR TO THE DISTRIBUTION OF HCPCIV 1, LLC DISTRIBUTION OF THE FUND'S 4,615,542 SHARES, HEALTHCOR PARTNERS MANAGMENET, LP HELD 7.8% OF SHARE CLASS.</classPercent>
        <numberOfSharesPersonHas>
          <solePowerOrDirectToVote>0</solePowerOrDirectToVote>
          <sharedPowerOrDirectToVote>HEALTHCOR PARTNERS MANAGEMENT, LP - SHARED POWER TO VOTE 2,082,014 WITH THE FUNDS LISTED BELOW
HEALTHCOR PARTNERS FUND, L.P. - 1,248,939 SHARES
HEALTHCOR PARNERS FUND II, L.P. - 833,075 SHARES
</sharedPowerOrDirectToVote>
          <solePowerOrDirectToDispose>0</solePowerOrDirectToDispose>
          <sharedPowerOrDirectToDispose>HEALTHCOR PARTNERS MANAGEMENT, LP - SHARED POWER TO DISPOSE OF 2,082,014 WITH THE FUNDS LISTED BELOW
HEALTHCOR PARTNERS FUND, L.P. - 1,248,939 SHARES
HEALTHCOR PARNERS FUND II, L.P. - 833,075 SHARES
HCPCIV 1, LLC DISTRIBUTED 4,615,542 SHARES TO FUND INVESTORS ON MARCH 24, 2026</sharedPowerOrDirectToDispose>
        </numberOfSharesPersonHas>
      </item4>
      <item5>
        <notApplicableFlag>N</notApplicableFlag>
        <classOwnership5PercentOrLess>Y</classOwnership5PercentOrLess>
      </item5>
      <item6>
        <notApplicableFlag>Y</notApplicableFlag>
      </item6>
      <item7>
        <notApplicableFlag>Y</notApplicableFlag>
      </item7>
      <item8>
        <notApplicableFlag>Y</notApplicableFlag>
      </item8>
      <item9>
        <notApplicableFlag>Y</notApplicableFlag>
      </item9>
      <item10>
        <notApplicableFlag>N</notApplicableFlag>
        <certifications>By signing below I certify that, to the best of my knowledge and belief, the securities referred to above were acquired and are held in the ordinary course of business and were not acquired and are not held for the purpose of or with the effect of changing or influencing the control of the issuer of the securities and were not acquired and are not held in connection with or as a participant in any transaction having that purpose or effect, other than activities solely in connection with a nomination under &amp;#167; 240.14a-11.

</certifications>
      </item10>
    </items>
    <signatureInformation>
      <reportingPersonName>HealthCor Partners Management LP</reportingPersonName>
      <signatureDetails>
        <signature>ELIZABETH M. LILLEY</signature>
        <title>CHIEF COMPLIANCE OFFICER</title>
        <date>03/31/2026</date>
      </signatureDetails>
    </signatureInformation>
    <signatureInformation>
      <reportingPersonName>HealthCor Partners Fund LP</reportingPersonName>
      <signatureDetails>
        <signature>ELIZABETH M. LILLEY</signature>
        <title>CHIEF COMPLIANCE OFFICER</title>
        <date>03/31/2026</date>
      </signatureDetails>
    </signatureInformation>
    <signatureInformation>
      <reportingPersonName>HealthCor Partners Fund II, L.P.</reportingPersonName>
      <signatureDetails>
        <signature>ELIZABETH M. LILLEY</signature>
        <title>CHIEF COMPLIANCE OFFICER</title>
        <date>03/31/2026</date>
      </signatureDetails>
    </signatureInformation>
  </formData>
</edgarSubmission>
