Power of Three — LeetCode 326 Python Solution

EasyRecursionMath
Problem
#326
Reading time
2 min

The problem

Given an integer n, return true if it is a power of three. Otherwise, return false.

Example

Input
n = 27
Output
true
Explanation
27 = 33

Python solution

Python
class Solution:
    def isPowerOfThree(self, n: int) -> bool:
        while n > 2:
            if n % 3:
                return False
            n //= 3
        return n == 1

Complexity

MeasureComplexity
TimeO(n) or O(1)
SpaceO(1) auxiliary

Pattern: Math and Number Theory

Find the closed form, the invariant, or the modular identity — and skip the loop entirely. LeetCode 326. Power of Three is filed here on both counts: the reference solution below belongs to the algorithm family this hub collects, and LeetCode tags it Math.

The math and number theory guide has the Python template for the pattern and the 485 LeetCode problems that use it.

Related problems

Frequently asked questions

How hard is LeetCode 326. Power of Three?
LeetCode 326. Power of Three is rated Easy on LeetCode.
What topics does LeetCode 326. Power of Three cover?
LeetCode 326. Power of Three is tagged Recursion and Math on LeetCode.

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