Assuming 5476 is given in base 10.
We have
5476 = 2×2401 + 674 = 2×7⁴ + 674
674 = 1×343 + 331 = 1×7³ + 331
331 = 6×49 + 37 = 6×7² + 37
37 = 5×7 + 2 = 5×7¹ + 2
2 = 2×1 = 2×7⁰
so that
5476₁₀ = 21652₇
