<?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/A</submissionType>
        <previousAccessionNumber>0001037389-26-000009</previousAccessionNumber>
        <filerInfo>
            <filer>
                <filerCredentials>
                    <cik>0001037389</cik>
                    <ccc>XXXXXXXX</ccc>
                </filerCredentials>
            </filer>
            <liveTestFlag>LIVE</liveTestFlag>



        </filerInfo>
    </headerData>
    <formData>
        <coverPageHeader>
            <amendmentNo>1</amendmentNo>
            <securitiesClassTitle>Common Stock, $.0001 par value</securitiesClassTitle>
            <eventDateRequiresFilingThisStatement>03/31/2026</eventDateRequiresFilingThisStatement>
            <issuerInfo>
                <issuerCik>0000355019</issuerCik>
                <issuerName>FONAR CORP</issuerName>
                <issuerCusips>
<issuerCusipNumber>344437405</issuerCusipNumber>
</issuerCusips>
                <issuerPrincipalExecutiveOfficeAddress>
                    <com:street1>110 MARCUS DR</com:street1>
                    <com:city>MELVILLE</com:city>
                    <com:stateOrCountry>NY</com:stateOrCountry>
                    <com:zipCode>11747</com:zipCode>
                </issuerPrincipalExecutiveOfficeAddress>
            </issuerInfo>
            <designateRulesPursuantThisScheduleFiled>
                <designateRulePursuantThisScheduleFiled>Rule 13d-1(b)</designateRulePursuantThisScheduleFiled>
            </designateRulesPursuantThisScheduleFiled>
        </coverPageHeader>
        <coverPageHeaderReportingPersonDetails>

            <reportingPersonName>Renaissance Technologies LLC</reportingPersonName>
            <citizenshipOrOrganization>DE</citizenshipOrOrganization>
            <reportingPersonBeneficiallyOwnedNumberOfShares>
                <soleVotingPower>1116</soleVotingPower>
                <sharedVotingPower>0</sharedVotingPower>
                <soleDispositivePower>1116</soleDispositivePower>
                <sharedDispositivePower>0</sharedDispositivePower>
            </reportingPersonBeneficiallyOwnedNumberOfShares>
            <reportingPersonBeneficiallyOwnedAggregateNumberOfShares>1116</reportingPersonBeneficiallyOwnedAggregateNumberOfShares>
            <classPercent>0.02</classPercent>
            <typeOfReportingPerson>IA</typeOfReportingPerson>
        </coverPageHeaderReportingPersonDetails>
        <coverPageHeaderReportingPersonDetails>
            <reportingPersonName>Renaissance Technologies Holdings Corporation</reportingPersonName>
            <citizenshipOrOrganization>DE</citizenshipOrOrganization>
            <reportingPersonBeneficiallyOwnedNumberOfShares>
                <soleVotingPower>1116</soleVotingPower>
                <sharedVotingPower>0</sharedVotingPower>
                <soleDispositivePower>1116</soleDispositivePower>
                <sharedDispositivePower>0</sharedDispositivePower>
            </reportingPersonBeneficiallyOwnedNumberOfShares>
            <reportingPersonBeneficiallyOwnedAggregateNumberOfShares>1116</reportingPersonBeneficiallyOwnedAggregateNumberOfShares>
            <classPercent>0.02</classPercent>
            <typeOfReportingPerson>HC</typeOfReportingPerson>
        </coverPageHeaderReportingPersonDetails>
        <items>
            <item1>
                <issuerName>FONAR CORP</issuerName>
                <issuerPrincipalExecutiveOfficeAddress>110 MARCUS DR, MELVILLE, NY 11747</issuerPrincipalExecutiveOfficeAddress>
            </item1>
            <item2>
                <filingPersonName>This Schedule 13G is being filed by Renaissance Technologies LLC ("RTC") and Renaissance Technologies Holdings Corporation ("RTHC").</filingPersonName>
                <principalBusinessOfficeOrResidenceAddress>800 Third Avenue New York, New York 10022</principalBusinessOfficeOrResidenceAddress>
                <citizenship>RTC is a Delaware limited liability company, and RTHC is a Delaware corporation.</citizenship>
            </item2>
            <item3>
                <notApplicableFlag>N</notApplicableFlag>
                <typeOfPersonFiling>IA</typeOfPersonFiling>
            </item3>
            <item4>
                <amountBeneficiallyOwned>1116</amountBeneficiallyOwned>
                <classPercent>0.02</classPercent>
                <numberOfSharesPersonHas>
                    <solePowerOrDirectToVote>1116</solePowerOrDirectToVote>
                    <sharedPowerOrDirectToVote>0</sharedPowerOrDirectToVote>
                    <solePowerOrDirectToDispose>1116</solePowerOrDirectToDispose>
                    <sharedPowerOrDirectToDispose>0</sharedPowerOrDirectToDispose>
                </numberOfSharesPersonHas>
            </item4>
            <item5>
                <notApplicableFlag>N</notApplicableFlag>
                <classOwnership5PercentOrLess>Y</classOwnership5PercentOrLess>
            </item5>
            <item6>
                <notApplicableFlag>N</notApplicableFlag>
                <ownershipMoreThan5PercentOnBehalfOfAnotherPerson>Certain funds managed by RTC have the right to receive dividends and proceeds from the sale of the securities which are the subject of this report.</ownershipMoreThan5PercentOnBehalfOfAnotherPerson>
            </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 ?? 240.14a-11.</certifications>
            </item10>
        </items>
        <exhibitInfo>In accordance with Rule 13d-1(k) under the Securities Exchange Act of 1934, as amended, each of the undersigned agrees to the filing on behalf of each of a Statement on Schedule 13G, and all amendments thereto, with respect to the shares of Common Stock, $.0001 par value of FONAR CORP.</exhibitInfo>
        <signatureInformation>
            <reportingPersonName>Renaissance Technologies LLC</reportingPersonName>
            <signatureDetails>
                <signature>Brian Felczak</signature>
                <title>Chief Financial Officer</title>
                <date>05/14/2026</date>
            </signatureDetails>
        </signatureInformation>
        <signatureInformation>
            <reportingPersonName>Renaissance Technologies Holdings Corporation</reportingPersonName>
            <signatureDetails>
                <signature>Brian Felczak</signature>
                <title>Vice President</title>
                <date>05/14/2026</date>
            </signatureDetails>
        </signatureInformation>
    </formData>
</edgarSubmission>
