Two players play a game with every bus number they see.
14
14
Player 1 doubles the bus number. Player 2 adds up its factors.
Whoever gets the largest total wins. Play the game with a friend.
Topics: Starter  Arithmetic  Factors  Mental Methods  Mixed  Number
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Previous Day  This starter is for 28 April  Next Day
Bus Number 
Double  Factors  Sum of Factors  Winner 
1  2  1  1  Player 1 
2  4  1 2  3  Player 1 
3  6  1 3  4  Player 1 
4  8  1 2 4  7  Player 1 
5  10  1 5  6  Player 1 
6  12  1 2 3 6  12  Draw 
7  14  1 7  8  Player 1 
8  16  1 2 4 8  15  Player 1 
9  18  1 3 9  13  Player 1 
10  20  1 2 5 10  18  Player 1 
11  22  1 11  12  Player 1 
12  24  1 2 3 4 6 12  28  Player 2 
13  26  1 13  14  Player 1 
14  28  1 2 7 14  24  Player 1 
15  30  1 3 5 15  24  Player 1 
16  32  1 2 4 8 16  31  Player 1 
17  34  1 17  18  Player 1 
18  36  1 2 3 6 9 18  39  Player 2 
19  38  1 19  20  Player 1 
20  40  1 2 4 5 10 20  42  Player 2 
21  42  1 3 7 21  32  Player 1 
22  44  1 2 11 22  36  Player 1 
23  46  1 23  24  Player 1 
24  48  1 2 3 4 6 8 12 24  60  Player 2 
25  50  1 5 25  31  Player 1 
It is better to be Player 1! It is much easier to double a number than work out the factors and add them up and as you can see Player 1 is more likely to win.
Player 2 will only win when the bus number is an "abundant number". What is the next abundant number after 24?
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