This quite amazing triangular palindrome, (a number that reads the same way backwards as forwards), can be developed entirely by the various products formed using only one digit: the number one. We start off with the simplest possible product: 1[…]

# Category: Number Curiosities

The triangular palindrome developed in Number Curiosities #1 can be expressed in an alternative arrangement. Consider the top row in the triangular palindrome. The number 1. This can be expressed as the fraction: The next row is the number 121[…]

## The Mystic Number: 76923

- LOCATED IN Number Curiosities

When this number is multiplied by the consecutive numbers from 1 to 12 in a particular order it produces a remarkable or ‘mystical’ outcome ! Firstly let’s multiply the number 76923 in by the numbers in the following order: 1[…]

## Digital Reversal

- LOCATED IN Number Curiosities

(i) Two Digits If we multiply and also add the number 9 to itself we get the following results: 9 x 9 = 81 and 9 + 9 = 18. These two digit results are the digital reverse of each[…]

## The Magic of 7

- LOCATED IN Number Curiosities

What does 712 x 712 equal? Both the question and answer, ( 604938271603728395061729 or 724 ) are neither inspiring or particularly significant in themselves. However, when we can express the answer in the following neat triangular shape, the real magic[…]

## The Magic of 8

- LOCATED IN Number Curiosities

Here a few interesting number patterns involving the number 8. (i) Magic Triangle of 8 The following magic triangle involving the number 8, (and the number 1) produces the following formation of digits when displayed like a right angled triangle[…]

## Perfect Squares

- LOCATED IN Number Curiosities

A perfect square refers to any number multiplied by itself. (i) Square “Pyramids” The following sets of square numbers can be arranged in pyramidal patterns. (ii) Consecutive Odd Numbers Square numbers can be written as a series of consecutive odd[…]

## Perfect Cubes

- LOCATED IN Number Curiosities

A perfect cube refers to any number multiplied by itself three times. (i) Continuing Odd Numbers Successive Cubes can be written as a series of continuing and consecutive odd numbers. 13 = 1 = 1 23 = 8 = 3[…]

## Number Constellations

- LOCATED IN Number Curiosities

Power Constellations Here is an example of a single constellation. 2 + 3 + 7 = 1 + 5 + 6 (i) Square It can be written as a square constellation. 2 + 3 + 7 = 1 + 5[…]

## Happy Numbers

- LOCATED IN Number Curiosities

A Happy Number is any whole number that reduces to the number one after repeatedly applying a simple formula. Take any digit, and then square it. If the result contains multiple digits, repeat for each digit and add both results[…]

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