Given the orbital eccentricity of this object, different epochs can generate quite different heliocentric unperturbed two-body best-fit solutions to the aphelion distance (maximum distance) of this object. For objects at such high eccentricity, the Suns barycentric coordinates are more stable than heliocentric coordinates. Using JPL Horizons the barycentric orbital elements for epoch 2050 generate a semi-major axis of 537 AU and a period of approximately 12,400 years. This gives it a barycentric orbital period just a little larger than Sedna.
There are six other long-period comets named Machholz: C/1978 R3 (a.k.a. 1978 XIII, 1978l), C/1985 K1 (a.k.a. 1985 VIII, 1985e), C/1988 P1 (a.k.a. 1988 XV, 1988j), C/1992 N1 (a.k.a. 1992 XVII, 1992k), C/1994 T1 (a.k.a. 1994 XXVII, 1994r), and C/2010 F4. In addition, there are C/1992 F1 (Tanaka-Machholz) and C/1994 N1 (Nakamura-Nishimura-Machholz)