Is 95 Abundant Or Deficient?

What is the best prime number?

Sheldon: “The best number is 73.

Why.

73 is the 21st prime number.

Its mirror, 37, is the 12th and its mirror, 21, is the product of multiplying 7 and 3…

and in binary 73 is a palindrome, 1001001, which backwards is 1001001.”.

What are the divisors of 42?

The positive divisors of 42 are 1, 2, 3, 6, 7, 14, 21, 42.

Is 77 abundant or deficient?

What is the list of divisors from 1 to 100?NumberList of DivisorsDivisors of 741,2,37,74Divisors of 751,3,5,15,25,75Divisors of 761,2,4,19,38,76Divisors of 771,7,11,7796 more rows

Is 32 a deficient number?

Is 32 a deficient number? Yes, 32 is a deficient number, that is to say 32 is a natural number that is strictly larger than the sum of its proper divisors, i.e., the divisors of 32 without 32 itself (that is 1 + 2 + 4 + 8 + 16 = 31).

Is 13 a prime number Yes or no?

When a number has more than two factors it is called a composite number. Here are the first few prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199, etc.

What is the smallest abundant number?

In number theory, an abundant number or excessive number is a number that is smaller than the sum of its proper divisors. The integer 12 is the first abundant number. Its proper divisors are 1, 2, 3, 4 and 6 for a total of 16.

Why no even number is super deficient?

A number n is deficient if the sum of its proper factors is less than n. For example, 22 is deficient since 1 + 2 + 11 = 14 < 22. A number n is super-deficient if twice the sum of its proper factors is less than n. For example, all odd primes p are super-deficient since 2 × 1 = 2 < p.

Is 28 a deficient number?

Is 28 a deficient number? No, 28 is not a deficient number: to be deficient, 28 should have been such that 28 is larger than the sum of its proper divisors, i.e., the divisors of 28 without 28 itself (that is 1 + 2 + 4 + 7 + 14 = 28).

Why is 28 the perfect number?

A number is perfect if all of its factors, including 1 but excluding itself, perfectly add up to the number you began with. 6, for example, is perfect, because its factors — 3, 2, and 1 — all sum up to 6. 28 is perfect too: 14, 7, 4, 2, and 1 add up to 28.

Is 28 a perfect number?

Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128.

What is perfect prime?

Call a natural number n prime-perfect if n and σ(n) share the. same set of distinct prime divisors. For example, all even perfect numbers are prime-perfect. We show that the count Nσ(x) of prime-perfect numbers in [1,x] satisfies estimates of the. form.

Are 60 and 84 Amicable numbers?

Amicable Numbers The Greeks considered the pair of numbers 220 and 284 to be amicable or friendly numbers because the sum of the proper divisors of one of the numbers is the other number. a. 60 and 84 are amicable numbers.

Is 48 abundant deficient or perfect?

The Integers 1 to 100NDivisors of NNotes461, 2, 23, 46Deficient471, 47Deficient481, 2, 3, 4, 6, 8, 12, 16, 24, 48Abundant491, 7, 49Deficient65 more rows

What is the product of all positive divisors of $100 $?

1,2,4,5,10,20,25,50,100 are all the positive divisors of 100. However, rather than straight up multiplying them in random order, I will multiply the opposite ends with each other (100*1, 2*50, 4*25, 5*20) and then multiply 10.

Are all prime numbers deficient?

Any prime number is deficient, because it has only one proper factor: 1. All numbers of the form 2n are also deficient. Example: 32 (=25) is a deficient number because the sum of its distinct proper factors is 31 (1+2+4+8+16).

Is 22 a deficient number?

(number theory) A number that is greater than the sum of all of its divisors except itself. The factors of 22 are 1, 2 and 11 and 22, and 1 + 2 + 11 = 14, which is less than 22, so 22 is a deficient number.

Are there any odd abundant numbers?

An abundant number is a number whose proper divisors sum to a value greater than itself. After 945, the odd-abundant numbers are 1,575, 2,205, 2,835, 3,465, … … There are also abundant numbers whose proper divisors have a sum greater than twice the original number.

What is a number divisible by 3?

Numbers Divisible by 3. Numbers are divisible by 3 if the sum of all the individual digits is evenly divisible by 3. For example, the sum of the digits for the number 3627 is 18, which is evenly divisible by 3 so the number 3627 is evenly divisible by 3.

What are the divisors of 8?

Divisors of numbersNumberPrime factorizationDivisors771, 78231, 2, 4, 89321, 3, 9102 * 51, 2, 5, 1076 more rows

Is 1 abundant perfect or deficient?

Deficient numbers occur more frequently than abundant numbers. In other words, the sum of the proper divisors of most numbers is less than the numbers themselves. Examples of deficient numbers include 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, and 23.

What are the deficient numbers from 1 to 100?

The first few deficient numbers are: 1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 22, 23, 25, 26, 27, 29, 31, 32, 33, 34, 35, 37, 38, 39, 41, 43, 44, 45, 46, 47, 49, 50, … (sequence A005100 in the OEIS) As an example, consider the number 21.