what figures you start
with, the digits of the product will always come to 9.

7549132, sum of digits = 31.
31
-------

7549101, sum of digits = 27, and 2 + 7 = 9.

Again, set the figure 9 down in multiplication, thus:

1 x 9 = 9
2 x 9 = 18
3 x 9 = 27
4 x 9 = 36
5 x 9 = 45
6 x 9 = 54
7 x 9 = 63
8 x 9 = 72
9 x 9 = 81
10 x 9 = 90

Now, you will see that the tens column reads down 1, 2, 3, 4, 5, 6, 7, 8,
9, and the units column up 1, 2, 3, 4, 5, 6, 7, 8, 9.

Here is a different property of the same number. If you arrange in a row
the cardinal numbers from 1 to 9, with the single omission of 8, and
multiply the sum so represented by any one of the figures multiplied by 9,
the result will present a succession of figures identical with that which
was multiplied by 9. Thus, if you wish a series of fives, you take 5 x 9 =
45 for a multiplier, with this result:

12345679
45
--------

61728395
49382716
--------

555555555

A very curious number is 142,857, which, multiplied by 1, 2, 3, 4, 5, or
6, gives the same figures in the same order, beginning at a different
point, but if multiplied by 7 gives all nines. Multiplied by 1, it equals
142,857; multiplied by 2, equals 285,714; multiplied by 3, equals 428,571;
multiplied by 4, equals 571,428; multiplied by 5, equals 714,285;
multiplied by 6, equals 857,142; multiplied by 7, equals 999,999.

Multiply 142,857 by 8, and you have 1,142,856. Then add the first figure
to the last, and you have 142,857, the original number, the figures
exactly the same as at the start.

The number 37 has this strange peculiarity: multiplied by 3, or by any
multiple of 3 up to 27, it gives three figures all alike. Thus, three
times 37 will be 111. Twice three times (6 times) 37 will be 222; three
times three times (9 times) 37 gives three threes; four times three times
(12 times) 37, three fours, and so on.

The wonderfully procreative power of figures, or, rather, their
accumulative growth, has been exemplified in that familiar story of the
farmer, who, undertaking to pay his farrier one grain of wheat for the
first nail, two for the second, four for the third, and so on, found that
he had bargained to give the farrier more wheat than was grown in all
England.

My beloved young friends who love to frequent the roulette-table, do you
know that if you begin with a dime, and were allowed to leave all your
win