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The total digits at a glance:(1to9)

4x1738=6952

4x1963=7852

12x483=5796

18x297=5346

27x198=5346

28x157=4396

39x186=7254

The beauty of numbers:
142857x1=142857

142857x2=285714

142857x3=428571

142857x4=571428

142857x5=714285

142857x6=857142

NUMBERS MAGIC

37x3=111

37x6=222

37x9=333

37x12=444

37x15=555

37x18=666

37x21=777

37x24=888

37x27=999

(1) Ramanujan Number:1729


(2)Kaprekar's Constant:6174

MAGIC MULTIPLICATION:

(1) 111x11=1221

(2)121x11=1331

(3)131x11=1441

(4)141x11=1551

(5)151x11=1661

(6)161x11=1771

(7)171x11=1881

(8)181x11=1991

REVERSE PRIME NUMBERS:

13-------------31

17-------------71

37-------------73

107----------701

113----------311

149---------941

(1)Helix:
A helix is a spiral in three dimensions.


(2) Cycloid:

A cycloid is the curve traced out by a point on the perimeter of a circle as the circle rolls along a straight line.

(1)Fibonacci sequence:

The Fibonacci sequence is the set of numbers:

1,1,2,3,5,8,13,21...

in which each number from the third onwards is obtained by adding the previous two. For example 5=2+3
21=8+13
Any sequence which obeys this rule is a Fibonacci Sequence, no matter what the first two numbers are. For example,

4,7,11,18,29,47, ...

Fibonacci was an Italian mathematician who is said to have introduced the sequence in connection with a problem about the growth in the number of rabbits.

(1)About Arrowhead:

An arrowhead is a quadrilateral with two pairs of adjacent sides equal in length, and one of whose interior angles is a reflex angle. The diagonal through this angle is a line of symmetry for the shape.
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