Doing Wudu PROPERLY means washing each organ THREE times.

Hadith

أَخْبَرَنَا قُتَيْبَةُ، قَالَ حَدَّثَنَا جَرِيرٌ، عَنْ مَنْصُورٍ، عَنْ هِلاَلِ بْنِ يِسَافٍ، عَنْ أَبِي يَحْيَى، عَنْ عَبْدِ اللَّهِ بْنِ عَمْرٍو، قَالَ قَالَ رَسُولُ اللَّهِ صلى الله عليه وسلم ‏

‏ أَسْبِغُوا الْوُضُوءَ ‏”

‏ ‏‏

It was narrated that ‘Abdullah bin ‘Amr said:

“The Messenger of Allah Salla Alahu Alaihi Wa Sallam said: ‘Do Wudu’ properly.'” [1]

[1] Isbighu Al-Wudu’. And this narration supports the claim that some of them used this expression to mean “three times” for each limb, rather than “properly.”

Sahih (Darussalam)

Sunan an-Nasa’i
English : Vol. 1, Book 1, Hadith 142
Arabic : Book 1, Hadith 143