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We report results of X-ray timing analyses for the low-field magnetarCXOU~J164710.2$-$455216 which exhibited multiple outbursts. We use data takenwith NICER, NuSTAR, Chandra, and Neil-Gehrels-Swift telescopes between 2017 and2018 when the source was in an active state. We perform semi-phase-coherenttiming analyses to measure the spin parameters and a spin-inferredmagnetic-field strength ($B_s$) of the magnetar. Using a semi-phase-coherentmethod, we infer the magnetic field strengths to be $3-4\times 10^{13}\rm \ G$at the observation period ($\sim$MJD 58000), and by comparing with previousfrequency measurements (MJD 54000) a long-term average value of $B_s$ isestimated to be $\approx4\times 10^{13}\rm \ G$. So this analysis may addCXOU~J164710.2$-$455216 to the ranks of low-field magnetars. The inferredcharacteristic age ($\tau_c$) is 1--2 Myr which is smaller than the age ofWesterlund~1, so the magnetar's association with the star cluster is stillsecure. For the low dipole field and the large age, recent multiple outburstsobserved from the source are hard to explain unless it has strong magneticmultipole components. We also find timing anomalies around outburst epochs,which suggests that there may be spin-down torque applied to the magnetar nearthe epochs as was proposed in magnetar models.

X-ray timing studies of the low-field magnetar CXOU J164710.2-455216