From bfef2a000197c41d018ed024d976c19722dc8d68 Mon Sep 17 00:00:00 2001
From: filifa <filifa.breath652@8alias.com>
Date: Sat, 20 Sep 2025 14:07:32 -0400
Subject: [PATCH] use for loop constructs

---
 cmd/divisors.go | 4 +---
 1 file changed, 1 insertion(+), 3 deletions(-)

diff --git a/cmd/divisors.go b/cmd/divisors.go
index 8ad1ffb..cfa358a 100644
--- a/cmd/divisors.go
+++ b/cmd/divisors.go
@@ -40,8 +40,7 @@ func pow(base uint, exp uint) uint {
 }
 
 func updateMultiples(sieve []uint, x uint, p uint, n uint) {
-	q := p
-	for {
+	for q := p; ; q *= p {
 		// sigma_x(a*b) = sigma_x(a) * sigma_x(b) if gcd(a,b) = 1
 		for i := 2 * q; i < n; i += q {
 			if i%(p*q) != 0 {
@@ -55,7 +54,6 @@ func updateMultiples(sieve []uint, x uint, p uint, n uint) {
 
 		// sigma_x(p^k) = p^(kx) + sigma_x(p^(k-1))
 		sieve[p*q] = pow(p*q, x) + sieve[q]
-		q *= p
 	}
 }