Numerical properties of 100000 -

Show numerical properties of 100000

We start by listing out divisors for 100000

Divisor	Divisor Math
1	100000 ÷ 1 = 100000
2	100000 ÷ 2 = 50000
4	100000 ÷ 4 = 25000
5	100000 ÷ 5 = 20000
8	100000 ÷ 8 = 12500
10	100000 ÷ 10 = 10000
16	100000 ÷ 16 = 6250
20	100000 ÷ 20 = 5000
25	100000 ÷ 25 = 4000
32	100000 ÷ 32 = 3125
40	100000 ÷ 40 = 2500
50	100000 ÷ 50 = 2000
80	100000 ÷ 80 = 1250
100	100000 ÷ 100 = 1000
125	100000 ÷ 125 = 800
160	100000 ÷ 160 = 625
200	100000 ÷ 200 = 500
250	100000 ÷ 250 = 400
400	100000 ÷ 400 = 250
500	100000 ÷ 500 = 200
625	100000 ÷ 625 = 160
800	100000 ÷ 800 = 125
1000	100000 ÷ 1000 = 100
1250	100000 ÷ 1250 = 80
2000	100000 ÷ 2000 = 50
2500	100000 ÷ 2500 = 40
3125	100000 ÷ 3125 = 32
4000	100000 ÷ 4000 = 25
5000	100000 ÷ 5000 = 20
6250	100000 ÷ 6250 = 16
10000	100000 ÷ 10000 = 10
12500	100000 ÷ 12500 = 8
20000	100000 ÷ 20000 = 5
25000	100000 ÷ 25000 = 4
50000	100000 ÷ 50000 = 2

Positive or Negative Number Test:

Positive Numbers > 0

Since 100000 ≥ 0 and it is an integer
100000 is a positive number

Whole Number Test:

Positive numbers including 0
with no decimal or fractions

Since 100000 ≥ 0 and it is an integer
100000 is a whole number

Prime or Composite Test:

Since 100000 has divisors other than 1 and itself
it is a composite number

Perfect/Deficient/Abundant Test:

Calculate divisor sum D

If D = N, then it's perfect

If D > N, then it's abundant

If D < N, then it's deficient

Divisor Sum = 1 + 2 + 4 + 5 + 8 + 10 + 16 + 20 + 25 + 32 + 40 + 50 + 80 + 100 + 125 + 160 + 200 + 250 + 400 + 500 + 625 + 800 + 1000 + 1250 + 2000 + 2500 + 3125 + 4000 + 5000 + 6250 + 10000 + 12500 + 20000 + 25000 + 50000

Divisor Sum = 146078

Since our divisor sum of 146078 > 100000
100000 is an abundant number!

Odd or Even Test (Parity Function):

A number is even if it is divisible by 2
If not divisible by 2, it is odd

50000 =	100000
	2

Since 50000 is an integer, 100000 is divisible by 2
it is an even number

This can be written as A(100000) = Even

Evil or Odious Test:

Get binary expansion

If binary has even amount 1's, then it's evil

If binary has odd amount 1's, then it's odious

100000 to binary = 11000011010100000

There are 6 1's, 100000 is an evil number

Triangular Test:

Can you stack numbers in a pyramid?
Each row above has one item less than the row before it

Using a bottom row of 447 items, we cannot form a pyramid
100000 is not triangular

Triangular number:

Rectangular Test:

Is there an integer m such that n = m(m + 1)

No integer m exists such that m(m + 1) = 100000
100000 is not rectangular

Rectangular number:

Automorphic (Curious) Test:

Does n2 ends with n

1000002 = 100000 x 100000 = 10000000000

Since 10000000000 does not end with 100000
it is not automorphic (curious)

Automorphic number:

Undulating Test:

Do the digits of n alternate in the form abab

In this case, a = 1 and b = 0

In order to be undulating, Digit 1: 111111 should be equal to 1

In order to be undulating, Digit 2: 000000 should be equal to 0

Since our digit pattern does not alternate in our abab pattern100000 is not undulating

Square Test:

Is there a number m such that m2 = n?

3162 = 99856 and 3172 = 100489 which do not equal 100000

Therefore, 100000 is not a square

Cube Test:

Is there a number m such that m3 = n

463 = 97336 and 473 = 103823 ≠ 100000

Therefore, 100000 is not a cube

Palindrome Test:

Is the number read backwards equal to the number?

The number read backwards is 000001

Since 100000 <> 000001
it is not a palindrome

Palindromic Prime Test:

Is it both prime and a palindrome

From above, since 100000 is not both prime and a palindrome
it is NOT a palindromic prime

Repunit Test:

A number is repunit if every digit is equal to 1

Since there is at least one digit in 100000 ≠ 1
then it is NOT repunit

Apocalyptic Power Test:

Does 2n contain the consecutive digits 666?

2100000 = INF

Since 2100000 does not have 666
100000 is NOT an apocalyptic power

Pentagonal Test:

It satisfies the form:

n(3n - 1)
2

Check values of 258 and 259

Using n = 259, we have:

259(3(259 - 1)
2

259(777 - 1)
2

100492 ← Since this does not equal 100000
this is NOT a pentagonal number

Using n = 258, we have:

258(3(258 - 1)
2

258(774 - 1)
2

99717 ← Since this does not equal 100000
this is NOT a pentagonal number

Pentagonal number:

Hexagonal Test:

Is there an integer m such that n = m(2m - 1)

No integer m exists such that m(2m - 1) = 100000
Therefore 100000 is not hexagonal

Hexagonal number:

Heptagonal Test:

Is there an integer m such that:

m =	n(5n - 3)
	2

No integer m exists such that m(5m - 3)/2 = 100000
Therefore 100000 is not heptagonal

Heptagonal number:

Octagonal Test:

Is there an integer m such that n = m(3m - 3)

No integer m exists such that m(3m - 2) = 100000
Therefore 100000 is not octagonal

Octagonal number:

Nonagonal Test:

Is there an integer m such that:

m =	n(7n - 5)
	2

No integer m exists such that m(7m - 5)/2 = 100000
Therefore 100000 is not nonagonal

Nonagonal number:

Tetrahedral (Pyramidal) Test:

Tetrahederal numbers satisfy the form:

n(n + 1)(n + 2)
6

Check values of 83 and 84

Using n = 84, we have:

84(84 + 1)(84 + 2)
6

84(85)(86)
6

102340 ← Since this does not equal 100000
This is NOT a tetrahedral (Pyramidal) number

Using n = 83, we have:

83(83 + 1)(83 + 2)
6

83(84)(85)
6

98770 ← Since this does not equal 100000
This is NOT a tetrahedral (Pyramidal) number

Narcissistic (Plus Perfect) Test:

Is equal to the square sum of it's m-th powers of its digits

100000 is a 6 digit number, so m = 6

Square sum of digitsm = 16 + 06 + 06 + 06 + 06 + 06

Square sum of digitsm = 1 + 0 + 0 + 0 + 0 + 0

Square sum of digitsm = 1

Since 1 <> 100000
100000 is NOT narcissistic (plus perfect)

Catalan Test:

Cn =	2n!
	(n + 1)!n!

Check values of 11 and 12

Using n = 12, we have:

C12 =	(2 x 12)!
	12!(12 + 1)!

Using our factorial lesson

C12 =	24!
	12!13!

C12 =	6.2044840173324E+23
	(479001600)(6227020800)

C12 =	6.2044840173324E+23
	2982752926433280000

C12 = 208012

Since this does not equal 100000
This is NOT a Catalan number

Using n = 11, we have:

C11 =	(2 x 11)!
	11!(11 + 1)!

Using our factorial lesson

C11 =	22!
	11!12!

C11 =	1.1240007277776E+21
	(39916800)(479001600)

C11 =	1.1240007277776E+21
	19120211066880000

C11 = 58786

Since this does not equal 100000
This is NOT a Catalan number

Number Properties for 100000

Final Answer

Positive
Whole
Composite
Abundant
Even
Evil

You have 1 free calculations remaining

What is the Answer?

Positive
Whole
Composite
Abundant
Even
Evil

How does the Number Property Calculator work?

Free Number Property Calculator - This calculator determines if an integer you entered has any of the following properties:
* Even Numbers or Odd Numbers (Parity Function or even-odd numbers)
* Evil Numbers or Odious Numbers
* Perfect Numbers, Abundant Numbers, or Deficient Numbers
* Triangular Numbers
* Prime Numbers or Composite Numbers
* Automorphic (Curious)
* Undulating Numbers
* Square Numbers
* Cube Numbers
* Palindrome Numbers
* Repunit Numbers
* Apocalyptic Power
* Pentagonal
* Tetrahedral (Pyramidal)
* Narcissistic (Plus Perfect)
* Catalan
* Repunit
This calculator has 1 input.

What 5 formulas are used for the Number Property Calculator?

Positive Numbers are greater than 0
Whole Numbers are positive numbers, including 0, with no decimal or fractional parts
Even numbers are divisible by 2
Odd Numbers are not divisible by 2
Palindromes have equal numbers when digits are reversed

For more math formulas, check out our Formula Dossier

What 11 concepts are covered in the Number Property Calculator?

divisora number by which another number is to be divided.evennarcissistic numbersa given number base b is a number that is the sum of its own digits each raised to the power of the number of digits.numberan arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.number propertyoddpalindromeA word or phrase which reads the same forwards or backwardspentagona polygon of five angles and five sidespentagonal numberA number that can be shown as a pentagonal pattern of dots.
n(3n - 1)/2perfect numbera positive integer that is equal to the sum of its positive divisors, excluding the number itself.propertyan attribute, quality, or characteristic of something

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