Is 166 a Smith number?
The first few Smith numbers are 4, 22, 27, 58, 85, 94, 121, 166, 202, 265, 274, 319, 346.
Is a Smith number or not?
A Smith number is a composite number whose sum of digits equals to the sum of digits of its prime factors, excluding 1. It is also known as a joke number. It is a sequence of OEIS A006753.
What is meant by Smith number?
A Smith Number is a composite number whose sum of digits is equal to the sum of digits in its prime factorization. Examples: Input : n = 4 Output : Yes Prime factorization = 2, 2 and 2 + 2 = 4 Therefore, 4 is a smith number Input : n = 6 Output : No Prime factorization = 2, 3 and 2 + 3 is not 6.
What is Smith number in Python?
A number is said to be a smith number if the sum of the digits of the number is equal to the sum of the digits of its prime factors (excluding 1) found using the prime factorization method.
Is 666 a Smith number?
Mathematical definition
The first few Smith numbers in base 10 are: 4, 22, 27, 58, 85, 94, 121, 166, 202, 265, 274, 319, 346, 355, 378, 382, 391, 438, 454, 483, 517, 526, 535, 562, 576, 588, 627, 634, 636, 645, 648, 654, 663, 666, 690, 706, 728, 729, 762, 778, 825, 852, 861, 895, 913, 915, 922, 958, 985, 1086 …
Is the number Automorphic?
An automorphic number is an integer whose square ends with the given integer, as (25)2 = 625, and (76)2 = 5776. Strobogrammatic numbers read the same after having been rotated through 180°; e.g., 69, 96, 1001.
What is Goldbach number?
A positive and even number is called a Goldbach number if the number can be expressed as the sum of two odd prime numbers. Note that all even integers greater than 4 are Goldbach numbers.
What are the factors of 666?
The factors of 666 are 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666 and its negative factors are -1, -2, -3, -6, -9, -18, -37, -74, -111, -222, -333, -666.
What is called prime factor?
A prime factor is a natural number, other than 1, whose only factors are 1 and itself. The first few prime numbers are actually 2, 3, 5, 7, 11, and so on. Now we can also use what’s called prime factorization for numbers which actually consist of using factor trees.
Is 40585 a strong number?
A Strong number is a number, where the sum of the factorial of the digits is equal to the number itself. 1, 2, 145, and 40585 are some examples of Strong numbers.
Is 22 a Smith No?
The first few Smith numbers in base 10 are: 4, 22, 27, 58, 85, 94, 121, 166, 202, 265, 274, 319, 346, 355, 378, 382, 391, 438, 454, 483, 517, 526, 535, 562, 576, 588, 627, 634, 636, 645, 648, 654, 663, 666, 690, 706, 728, 729, 762, 778, 825, 852, 861, 895, 913, 915, 922, 958, 985, 1086 … (sequence A006753 in the OEIS)
What is a Krishnamurthy number?
A Krishnamurthy number is a number whose sum of the factorial of digits is equal to the number itself. For example 145, sum of factorial of each digits: 1! + 4!
What is Trimorphic number?
A number is called Trimorphic number if and only if its cube ends in the same digits as the number itself. In other words, number appears at the end of its cube.
Why is 11 not a prime number?
The number 11 is divisible only by 1 and the number itself. For a number to be classified as a prime number, it should have exactly two factors.
Is there a largest prime number?
The Great Internet Mersenne Prime Search (GIMPS) has discovered the largest known prime number, 2^82,589,933 – 1, having 24,862,048 digits.
What is the factor of 777?
Solution: The factors of 777 are 1, 3, 7, 21, 37, 111, 259, 777. Therefore, 777 has 8 factors.
What is the smallest prime number?
2
A prime number must have exactly two factors (1 and the number itself). Therefore, the number 2 is the lowest prime number as its only factors are 1 and 2. Q.
What can go into 24?
Factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24.
What is Krishnamurthy number?
Is 145 a special number?
Compare the sum of the factorial of digits with the given number, i.e. 145 = 145. We observe that both are equal. Hence, the given number 145 is a special number.
Is Armstrong a number?
Armstrong number is a number that is equal to the sum of cubes of its digits. For example 0, 1, 153, 370, 371 and 407 are the Armstrong numbers.
Is the number automorphic?
Is 36 an automorphic number?
Some other automorphic numbers are 5, 6, 36, 890625, etc.
Is 0 an odd or even number?
So what is it – odd, even or neither? For mathematicians the answer is easy: zero is an even number.
Is Infinity a prime number?
Answers and Replies. Infinity is not a number in the field of real numbers. ∞ – ∞ and ∞/∞ are clearly ambiguous and undefined. Even if it was, we would have to say that 2 * ∞ = ∞, so 2 would be a factor of ∞ and it would not be a prime number.