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FORM 3                                              OMB APPROVAL
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                                         OMB Number:              3235-0287
                                         Expires:         December 31, 2001
                                         Estimated average burden
                                         hours per response............ 0.5
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               UNITED STATES SECURITIES AND EXCHANGE COMMISSION
                             WASHINGTON, D.C. 20549


            INITIAL STATEMENT OF BENEFICIAL OWNERSHIP OF SECURITIES

    Filed pursuant to Section 16(a) of the Securities Exchange Act of 1934,
       Section 17(a) of the Public Utility Holding Company Act of 1935 or
              Section 30(f) of the Investment Company Act of 1940
                          (Print or Type Responses)

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1. Name and Address of Reporting Person*

   HX Investors, L.P. (1)
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   (Last)               (First)              (Middle)

   100 Jericho Quadrangle
   Suite 214
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                        (Street)

   Jericho                 NY                 11753
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   (City)                (State)              (Zip)

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2. Date of Event Requiring Statement (Month/Day/Year)

   6/17/02
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3. IRS Identification Number of Reporting Person, if an entity (Voluntary)


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4. Issuer Name and Ticker or Trading Symbol

   Shelbourne Properties I, Inc. (HXD)
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5. Relationship of Reporting Person(s) to Issuer
   (Check all applicable)

   [ ] Director
   [X] 10% Owner(1)
   [ ] Officer (give title below)
   [ ] Other (specify below)


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6. If Amendment, Date of Original (Month/Day/Year)



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7. Individual or Joint/Group Filing
   (Check applicable line)

   [ ] Form filed by One Reporting Person
   [X] Form filed by More than One Reporting Person(1)

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FORM 3 (continued)



               TABLE I--NON-DERIVATIVE SECURITIES, ACQUIRED, DISPOSED OF, OR BENEFICIALLY OWNED
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 1. Title of Security   2. Amount of Securities   3. Ownership         4. Nature of Indirect Beneficial Ownership
    (Instr. 4)             Beneficially Owned        Form: Direct         (Instr. 5)
                           (Instr. 4)                (D) or Indirect
                                                     (I) (Instr. 5)
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Common Stock, par value
$0.01 per share             86,728 (2)                    (1)(2)
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Reminder: Report on a separate line for each class of securities beneficially
          owned directly or indirectly.

                            (Print or Type Responses)

                                                                          (Over)
                                                                 SEC 1473 (8/92)


FORM 3 (continued)



       TABLE II--DERIVATIVE SECURITIES BENEFICIALLY OWNED (E.G., PUTS, CALLS, WARRANTS, OPTIONS, CONVERTIBLE SECURITIES)
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  1. Title of Derivative   2. Date Exer-         3. Title and Amount of Securities   4. Conver-      5. Owner-     6. Nature of
     Security (Instr. 4)      cisable and           Underlying Derivative Security      sion or         ship          Indirect
                              Expiration            (Instr. 4)                          Exercise        Form of       Beneficial
                              Date              -----------------------------------     Price of        Deriv-        Ownership
                              (Month/Day/Year)                                          Deriv-          ative         (Instr. 5)
                          ---------------------                           Amount        ative           Security:
                                                                          or            Security        Direct
                           Date       Expira-            Title            Number                        (D) or
                           Exer-      tion                                of                            Indirect
                           cisable    Date                                Shares                        (I)
                                                                                                        (Instr. 5)
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Explanation of Responses:
(1)  This statement is filed as a joint report pursuant to Rule 16a-3(j)
     promulgated under the Securities Exchange Act of 1934 (the "Act") by the
     undersigned Reporting Person and by the entities listed on the attached
     Joint Filer Information Sheet who are deemed to constitute a "group"
     beneficially owning more than 10% of the Issuer' shares of common stock,
     par value $0.01 per share (the "Common Stock") under Section 13(d) of the
     Act. Exeter Capital Corporation ("Exeter") is the sole general partner of
     HX Investors, L.P. ("HX") and Michael L. Ashner is the sole shareholder and
     director of Exeter. Accordingly, for purposes of Section 16 of the Act,
     Exeter and Mr. Ashner may be deemed to beneficially own any securities held
     by reported herein which are held by HX. Further, Exeter holds a .01%
     interest in HX and Mr. Ashner holds a 39.99% interest in HX and,
     accordingly, for purposes of Section 16 of the Act, Exeter and Mr. Ashner
     may be deemed to own an approximately .01% and 40%, respectively,
     beneficial interest in any securities reported herein which are held by HX.

(2)  All shares are held by HX. Exeter and Mr. Ashner do not hold any shares of
     Common Stock. Accordingly, in accordance with the ownership percentages set
     forth in footnote (1) above, for purposes of Section 16 of the Act: (i) HX
     beneficially owns the number of shares of Common Stock listed as held by
     it, (ii) Exeter beneficially owns 8.6728 shares of Common Stock, and (iii)
     Mr. Ashner beneficially owns 34,691 shares of Common Stock.


                  HX INVESTORS, L.P.

                  By: Exeter Capital Corporation, General Partner

              /s/ Michael L. Ashner                           June 18, 2002
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                  Michael L. Ashner                                Date
               ** Signature of Reporting Person

** Intentional misstatements or omissions of facts constitute Federal Criminal
   Violations. See 18 U.S.C. 1001 and 15 U.S.C. 78ff(a).

Note: File three copies of this Form, one of which must be manually signed.
      If space is insufficient, see Instruction 6 for procedure.


                                                                         Page 2


                             Joint Filer Information

     Each of the undersigned is jointly filing the attached Initial Statement of
Beneficial Ownership of Securities on Form 3 with respect to the beneficial
ownership of shares of Shelbourne Properties I, Inc. The Designated Filer is HX
Investors, L.P.

Name:        Exeter Capital Corporation
Address:     100 Jericho Quadrangle
             Suite 214
             Jericho, New York  11753

Signature:   By: /s/ Michael L. Ashner
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                 Michael L. Ashner
                 President



Name:        Michael L. Ashner
Address:     c/o Exeter Capital Corporation
             100 Jericho Quadrangle
             Suite 214
             Jericho, New York 11753

Signature:   /s/ Michael L. Ashner
             --------------------------------
             Michael L. Ashner