Find Cute Numbers with Python

python day 22

Today we will introduce two kinds of interesting number: Narcissistic Number, Perfect Number, and Prime Number.

• Narcissistic Number

numbers that can be represented as the sum of the cube of each digits.

def nar():
    for x in range (1,1001):
        s=x%10
        t=x//10%10
        h=x//100
        if x==s**3+t**3+h**3:
            print("%d is a narcissistic number" %x)

nar()
1 is a narcissistic number
153 is a narcissistic number
370 is a narcissistic number
371 is a narcissistic number
407 is a narcissistic number
1000 is a narcissistic number

• Perfect Number

the number is equal to its sum of proper divisors.

from math import sqrt
def perfect(m):
    for i in range (1,m):
        s=0
        for factor in range (1, int(sqrt(i))+1):
            if i % factor==0:
                s +=factor
                if factor >1 and i//factor != factor:
                    s+= i//factor
        if s==i:
            print(i,"is a perfect number" )
    print("So you are perfect2!")

perfect(10000)

1 is a perfect number
6 is a perfect number
28 is a perfect number
496 is a perfect number
8128 is a perfect number
So you are perfect2!

from math import sqrt
def prime(m):
    for i in range (2,m):
        isprime=True
        for factor in range (2, int(sqrt(i))+1):
            if i % factor ==0:
                isprime=False
                break
        if isprime:
            print(i)

prime(100)

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

Happy studying!

Ref:

https://github.com/jackfrued/Python-100-Days/blob/master/Day01-15/05.%E6%9E%84%E9%80%A0%E7%A8%8B%E5%BA%8F%E9%80%BB%E8%BE%91.md