False

because

5*5*5*5*5 6 (which is less than 9 from n = 4

how???

for 1........divisor is 1, **so total 1**

for 2*2 = 4 divisors are 1, 2 and 4, **so total divisors are 3**

for 3*3*3* = 27 divisors are 1,3,9 and 27, **so total divisors are 4**

for 4*4*4*4 = 256 divisors are 1, 2, 4, 8, 16, 32, 64, 128 and 256, **so total divisors are 9**

but

for 5*5*5*5*5 = 3125, divisors are 1, 5, 25, 125, 625 and 3125, **so total divisors are 6**