36 has nine of them.
Answer: 2008. d(n) is number of divisors of n. I give number of divisors and list them also. The divisors of n = 2008: 1, 2, 4, 8, 251, 502, 1004, 2008 d(2008) = 8 The divisors of n = 2009: 1, 7, 41, 49, 287, 2009 d(2009) = 6
A perfect number is the sum of its divisors; for example 6 is a perfect number because the sum of its divisors is 6 (1 + 2 + 3). The sum of the divisors of 8 is 7 (1 + 2 + 4), so 8 is not a perfect number.
1, 2, 4, 8.
64 has 7 divisors: 1 2 4 8 16 32 64.
The divisors of 64 are: 1 2 4 8 16 32 64.
15
24 (1,2,3,4,6,8,12 & 24)
The number 24 is classified as an abundant number. An abundant number is one where the sum of its proper divisors (excluding itself) is greater than the number itself. For 24, the proper divisors are 1, 2, 3, 4, 6, and 8, which sum to 24, making it equal to the number itself. Therefore, since the sum of the proper divisors equals 24, it is not perfect; however, the total sum of divisors including 24 is 60, which is greater than 24, confirming it as abundant.
The divisors of 8 are: 1, 2, 4, 8
Least number with exactly n even divisors 1 -> 0 divisor 2 -> 1 divisor 4 -> 2 divisors = 22 8 -> 3 divisors = 23 12 -> 4 divisors = 22x3 32 -> 5 divisors = 24
There are 8 divisors of 105 (viz: 1, 3, 5, 7, 15, 21, 35, 105)
6, 8, 10, 14, 15