Ad
related to: sum of factorial digits worksheet practice answerseducation.com has been visited by 100K+ users in the past month
Education.com is great and resourceful - MrsChettyLife
- Lesson Plans
Engage your students with our
detailed lesson plans for K-8.
- Printable Workbooks
Download & print 300+ workbooks
written & reviewed by teachers.
- Interactive Stories
Enchant young learners with
animated, educational stories.
- Education.com Blog
See what's new on Education.com,
explore classroom ideas, & more.
- Lesson Plans
Search results
Results from the WOW.Com Content Network
Let be a natural number. For a base >, we define the sum of the factorials of the digits [5] [6] of , :, to be the following: = =!. where = ⌊ ⌋ + is the number of digits in the number in base , ! is the factorial of and
7.2 Sum of reciprocal of factorials. 7.3 Trigonometry and ... Modified-factorial denominators
The sum of the reciprocals of the powerful numbers is close to 1.9436 . [4] The reciprocals of the factorials sum to the transcendental number e (one of two constants called "Euler's number"). The sum of the reciprocals of the square numbers (the Basel problem) is the transcendental number π 2 / 6 , or ζ(2) where ζ is the Riemann zeta ...
Every sequence of digits, in any base, is the sequence of initial digits of some factorial number in that base. [ 60 ] Another result on divisibility of factorials, Wilson's theorem , states that ( n − 1 ) ! + 1 {\displaystyle (n-1)!+1} is divisible by n {\displaystyle n} if and only if n {\displaystyle n} is a prime number . [ 52 ]
Since ! is the product of the integers 1 through n, we obtain at least one factor of p in ! for each multiple of p in {,, …,}, of which there are ⌊ ⌋.Each multiple of contributes an additional factor of p, each multiple of contributes yet another factor of p, etc. Adding up the number of these factors gives the infinite sum for (!
The factorial number system is a mixed radix numeral system: the i-th digit from the right has base i, which means that the digit must be strictly less than i, and that (taking into account the bases of the less significant digits) its value is to be multiplied by (i − 1)!
The concept of a decimal digit sum is closely related to, but not the same as, the digital root, which is the result of repeatedly applying the digit sum operation until the remaining value is only a single digit. The decimal digital root of any non-zero integer will be a number in the range 1 to 9, whereas the digit sum can take any value.
In algebra and number theory, Wilson's theorem states that a natural number n > 1 is a prime number if and only if the product of all the positive integers less than n is one less than a multiple of n.
Ad
related to: sum of factorial digits worksheet practice answerseducation.com has been visited by 100K+ users in the past month
Education.com is great and resourceful - MrsChettyLife