<?xml version="1.0"?>
<ownershipDocument>

    <schemaVersion>X0206</schemaVersion>

    <documentType>3</documentType>

    <periodOfReport>2017-01-25</periodOfReport>

    <noSecuritiesOwned>0</noSecuritiesOwned>

    <issuer>
        <issuerCik>0001295401</issuerCik>
        <issuerName>Bancorp, Inc.</issuerName>
        <issuerTradingSymbol>TBBK</issuerTradingSymbol>
    </issuer>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001197257</rptOwnerCik>
            <rptOwnerName>EGGEMEYER JOHN M III</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CASTLE CREEK CAPITAL LLC</rptOwnerStreet1>
            <rptOwnerStreet2>6051 EL TORDO</rptOwnerStreet2>
            <rptOwnerCity>RANCHO SANTA FE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001666749</rptOwnerCik>
            <rptOwnerName>Castle Creek Capital Partners VI, LP</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CASTLE CREEK CAPITAL LLC</rptOwnerStreet1>
            <rptOwnerStreet2>6051 EL TORDO</rptOwnerStreet2>
            <rptOwnerCity>RANCHO SANTA FE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001671438</rptOwnerCik>
            <rptOwnerName>Castle Creek Capital VI LLC</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CASTLE CREEK CAPITAL LLC</rptOwnerStreet1>
            <rptOwnerStreet2>6051 EL TORDO</rptOwnerStreet2>
            <rptOwnerCity>RANCHO SANTA FE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001242722</rptOwnerCik>
            <rptOwnerName>THOMAS J MIKESELL</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CASTLE CREEK CAPITAL LLC</rptOwnerStreet1>
            <rptOwnerStreet2>6051 EL TORDO</rptOwnerStreet2>
            <rptOwnerCity>RANCHO SANTA FE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001332829</rptOwnerCik>
            <rptOwnerName>MERLO MARK G</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CASTLE CREEK CAPITAL LLC</rptOwnerStreet1>
            <rptOwnerStreet2>6051 EL TORDO</rptOwnerStreet2>
            <rptOwnerCity>RANCHO SANTA FE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <reportingOwner>
        <reportingOwnerId>
            <rptOwnerCik>0001481798</rptOwnerCik>
            <rptOwnerName>Pietrzak John</rptOwnerName>
        </reportingOwnerId>
        <reportingOwnerAddress>
            <rptOwnerStreet1>C/O CASTLE CREEK CAPITAL LLC</rptOwnerStreet1>
            <rptOwnerStreet2>6051 EL TORDO</rptOwnerStreet2>
            <rptOwnerCity>RANCHO SANTA FE</rptOwnerCity>
            <rptOwnerState>CA</rptOwnerState>
            <rptOwnerZipCode>92067</rptOwnerZipCode>
            <rptOwnerStateDescription></rptOwnerStateDescription>
        </reportingOwnerAddress>
        <reportingOwnerRelationship>
            <isDirector>1</isDirector>
            <isOfficer>0</isOfficer>
            <isTenPercentOwner>0</isTenPercentOwner>
            <isOther>1</isOther>
            <otherText>See Remarks</otherText>
        </reportingOwnerRelationship>
    </reportingOwner>

    <nonDerivativeTable>
        <nonDerivativeHolding>
            <securityTitle>
                <value>Common Stock</value>
            </securityTitle>
            <postTransactionAmounts>
                <sharesOwnedFollowingTransaction>
                    <value>2707898</value>
                </sharesOwnedFollowingTransaction>
            </postTransactionAmounts>
            <ownershipNature>
                <directOrIndirectOwnership>
                    <value>I</value>
                </directOrIndirectOwnership>
                <natureOfOwnership>
                    <value>See footnote</value>
                    <footnoteId id="F1"/>
                </natureOfOwnership>
            </ownershipNature>
        </nonDerivativeHolding>
    </nonDerivativeTable>

    <footnotes>
        <footnote id="F1">These securities are directly held by Castle Creek Capital Partners VI, LP (&quot;Fund VI&quot;).  Mr. Eggemeyer, Mr. Thomas, Mr. Merlo, and Mr. Pietrzak are managing principals of Castle Creek Capital VI LLC, the sole general partner of Fund VI.  Castle Creek Capital VI LLC, Mr. Eggemeyer, Mr. Thomas, Mr. Merlo, and Mr. Pietrzak each disclaim beneficial ownership of these shares of Common Stock, except to the extent of their respective pecuniary interest therein, and this report shall not be deemed an admission that Castle Creek Capital Partners VI LLC, Mr. Eggemeyer, Mr. Thomas, Mr. Merlo, or Mr. Pietrzak is the beneficial owner of such shares of Common Stock for purposes of Section 16 of the Securities Exchange Act of 1934, as amended, or for any other purpose.</footnote>
    </footnotes>

    <remarks>John M. Eggemeyer, a managing principal of Castle Creek Capital VI, LLC, serves on the Issuer's board of directors (the &quot;Board&quot;) as a representative of Castle Creek Capital Partners VI, LP (&quot;Fund VI&quot;), pursuant to Fund VI's contractual right to nominate a representative to the Board.  By virtue of his representation on the Board, for purposes of Section 16 of the Securities Exchange Act of 1934, as amended, the Reporting Persons are deemed to be directors of the Issuer by deputization.</remarks>

    <ownerSignature>
        <signatureName>CASTLE CREEK CAPITAL PARTNERS VI, LP, By: /s/ John M. Eggemeyer, Name: John M. Eggemeyer, Title: President</signatureName>
        <signatureDate>2017-02-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>CASTLE CREEK CAPITAL VI LLC, By: /s/ John M. Eggemeyer, Name: John M. Eggemeyer, Title: President</signatureName>
        <signatureDate>2017-02-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>JOHN M. EGGEMEYER, By: /s/ John M. Eggemeyer, Name: John M. Eggemeyer</signatureName>
        <signatureDate>2017-02-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>J. MIKESELL THOMAS, By: /s/ J. Mikesell Thomas, Name: J. Mikesell Thomas</signatureName>
        <signatureDate>2017-02-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>MARK G. MERLO, By: /s/ Mark G. Merlo, Name: Mark G. Merlo</signatureName>
        <signatureDate>2017-02-07</signatureDate>
    </ownerSignature>

    <ownerSignature>
        <signatureName>JOHN T. PIETRZAK, By: /s/ John T. Pietrzak, Name: John T. Pietrzak</signatureName>
        <signatureDate>2017-02-07</signatureDate>
    </ownerSignature>
</ownershipDocument>
