Difference between revisions of "Manuals/calci/ISINTEGER"

Latest revision as of 03:01, 12 February 2020

ISINTEGER (Number)

This function is one of the group in ISFUNCTIONS.
The IS FUNCTION is also known as data information functions, data inspection functions or data-testing functions.
ISINTEGER function can be used to check the given value is integer or not.
Here the number can be either positive or negative.
This function gives the result as only TRUE or FALSE.
The result is TRUE when the n value is Integer otherwise the result is FALSE.
The argument can be blank, or it can contain data such as text, numbers, error values, logical values or any equations.
This function will convert any numbers from text.
For e.g. "20" is normally converted as a number 20.
But in ISINTEGER("20") will return TRUE, because "20" will convert in to number.

SAFEINTEGER (Number)

$Number$ is to be tested as a secure integer.
This function determines whether the provided value is a secure integer.
A safe whole number is one that can be represented exactly by a double precision number.
Safe integers consist of all integers from inclusive to inclusive.-(2^53 - 1)2^53 - 1
ISSAFEINTEGER("15") = true
ISSAFEINTEGER("15.34") = false

Abundant number is a number for which the sum of its proper divisors is greater than the number itself.
It is also called Excessive Number.
The first Abundant number is 12.
ISABUNDANTNUMBER(6) = false
ISABUNDANTNUMBER(20) = true
ISABUNDANTNUMBER(1..12) = false false false false false false false false false false false true

Deficient number is a number $n$ for which the sum of divisors $\sigma (n)<2n$ , or, equivalently, the sum of proper divisors (or aliquot sum) $s(n)<n$ . The value $2n$ − $\sigma (n)$ (or $n$ − $s(n)$ ) is called the number's deficiency.
ISDEFICIENTNUMBER(6) = false
ISDEFICIENTNUMBER(1..10) = false true true true true false true true true true

@@ Line 14: / Line 14: @@
 *For e.g. "20" is normally converted as a number 20.
 *But in ISINTEGER("20") will return TRUE, because "20" will  convert in to number.
+==Safe Integer==
+'''SAFEINTEGER (Number)'''
+*<math>Number</math> is to be tested as a secure integer.
+*This function determines whether the provided value is a secure integer.
+*A safe whole number is one that can be represented exactly by a double precision number.
+*Safe integers consist of all integers from inclusive to inclusive.-(2^53 - 1)2^53 - 1
+*  ISSAFEINTEGER("15") = true
+*  ISSAFEINTEGER("15.34") = false
+==Abundant Numbers==
+*Abundant number is a number for which the sum of its proper divisors is greater than the number itself.
+*It is also called Excessive Number.
+*The first Abundant number is 12.
+*ISABUNDANTNUMBER(6) = false
+*ISABUNDANTNUMBER(20) = true
+* ISABUNDANTNUMBER(1..12) = false   	false   	false   	false   	false   	false   	false   	false   	false   	false   	false   	true
+==Deficient Numbers==
+*Deficient number is a number <math>n</math> for which the sum of divisors <math>\sigma(n)<2n</math>, or, equivalently, the sum of proper divisors (or aliquot sum) <math>s(n)<n</math>. The value <math>2n</math> − <math>\sigma(n)</math> (or <math>n</math> − <math>s(n)</math>) is called the number's deficiency.
+*ISDEFICIENTNUMBER(6) = false
+*ISDEFICIENTNUMBER(1..10) = false   	true   	true   	true   	true   	false   	true   	true   	true   	true
 ==Examples==