### Author Topic: The fascination of numbers.  (Read 113 times)

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#### thomasleor

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• Gender:  ##### The fascination of numbers.
« on: July 12, 2019, 09:35:52 AM »
All good roulette players love numbers. It is a fascination for the numerical, representing a deep-rooted awe for what is believed to be an orderly, precise, yet everchanging reality, found in the endless interaction of countless phenomena, which all can be formulated mathematically.

This fascination usually starts in the early years of childhood and then holds on, or in those cases of other intervening interests, re-emerges at a later age.

I have here a little curiosa about numbers comparative to our immediate reality, presented here with a reference to the numerical range of  0 - 36.

So for all philomath´s here - Enjoy. 0
1 is the multiplicative identity.
2 is the only even prime.
3  is the number of spatial dimensions we live in.
4  is the smallest number of colors sufficient to color all planar maps.
5  is the number of Platonic solids.
6  is the smallest perfect number.
7  is the smallest number of sides of a regular polygon that is not constructible by straightedge and compass.
8  is the largest cube in the Fibonacci sequence.
9 is the maximum number of cubes that are needed to sum to any positive integer.
10 is the base of our number system.
11 is the largest known multiplicative persistence.
12 is the smallest abundant number.
13 is the number of Archimedean solids.
14 is the smallest even number n with no solutions to φ(m) = n. (Many mathematicians have tried. All have failed.)
15 is the smallest composite number n with the property that there is only one group of order n.
16 is the only number of the form xy = yx with x and y being different integers.
17 is the number of wallpaper groups.
18  is the only positive number that is twice the sum of its digits.
19 is the maximum number of 4th powers needed to sum to any number.
20  is the number of rooted trees with 6 vertices.
21  is the smallest number of distinct squares needed to tile a square.
22  is the number of partitions of 8.
23  is the smallest number of integer-sided boxes that tile a box so that no two boxes share a common length.
24  is the largest number divisible by all numbers less than its square root.
25  is the smallest square that can be written as a sum of 2 positive squares.
26  is the only positive number to be directly between a square and a cube.
27  is the largest number that is the sum of the digits of its cube.
28  is the 2nd perfect number.
29  is the 7th Lucas number.
30 is the largest number with the property that all smaller numbers relatively prime to it are prime.
31  is a Mersenne prime.
32  is the smallest non-trivial 5th power.
33  is the largest number that is not a sum of distinct triangular numbers.
34  is the smallest number with the property that it and its neighbors have the same number of divisors.
35  is the number of hexominoes.
36  is the smallest non-trivial number which is both square and triangular.
« Last Edit: July 12, 2019, 10:01:02 AM by thomasleor »

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